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Finding the Fourth Proportional to 912.25, 1,368.38 and 228.25

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Solution

The fourth proportional to 912.25, 1,368.38 and 228.25 is: 342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.25 : 1,368.38 = 228.25 : x
  2. Step 2: Convert to fraction form
    912.25/1,368.38 = 228.25/x
  3. Step 3: Cross multiply
    912.25x = 1,368.38 × 228.25
  4. Step 4: Simplify right side
    912.25x = 312,332.74
  5. Step 5: Solve for x
    x = 312,332.74/912.25
  6. Step 6: Final answer
    x = 342.38

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.