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Finding the Fourth Proportional to 228.48, 314.48 and 200.92

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Solution

The fourth proportional to 228.48, 314.48 and 200.92 is: 276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.48 : 314.48 = 200.92 : x
  2. Step 2: Convert to fraction form
    228.48/314.48 = 200.92/x
  3. Step 3: Cross multiply
    228.48x = 314.48 × 200.92
  4. Step 4: Simplify right side
    228.48x = 63,185.32
  5. Step 5: Solve for x
    x = 63,185.32/228.48
  6. Step 6: Final answer
    x = 276.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.