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Finding the Fourth Proportional to 316.12, 472.19 and 280.28

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Solution

The fourth proportional to 316.12, 472.19 and 280.28 is: 418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.12 : 472.19 = 280.28 : x
  2. Step 2: Convert to fraction form
    316.12/472.19 = 280.28/x
  3. Step 3: Cross multiply
    316.12x = 472.19 × 280.28
  4. Step 4: Simplify right side
    316.12x = 132,345.41
  5. Step 5: Solve for x
    x = 132,345.41/316.12
  6. Step 6: Final answer
    x = 418.66

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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.