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Finding the Fourth Proportional to 316.47, 472.25 and 280.02

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Solution

The fourth proportional to 316.47, 472.25 and 280.02 is: 417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.47 : 472.25 = 280.02 : x
  2. Step 2: Convert to fraction form
    316.47/472.25 = 280.02/x
  3. Step 3: Cross multiply
    316.47x = 472.25 × 280.02
  4. Step 4: Simplify right side
    316.47x = 132,240.15
  5. Step 5: Solve for x
    x = 132,240.15/316.47
  6. Step 6: Final answer
    x = 417.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.