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Finding the Fourth Proportional to 403.25, 556.46 and 228.59

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Solution

The fourth proportional to 403.25, 556.46 and 228.59 is: 315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.25 : 556.46 = 228.59 : x
  2. Step 2: Convert to fraction form
    403.25/556.46 = 228.59/x
  3. Step 3: Cross multiply
    403.25x = 556.46 × 228.59
  4. Step 4: Simplify right side
    403.25x = 127,200.05
  5. Step 5: Solve for x
    x = 127,200.05/403.25
  6. Step 6: Final answer
    x = 315.44

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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.