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Finding the Fourth Proportional to 362.76, 542.88 and 317.28

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Solution

The fourth proportional to 362.76, 542.88 and 317.28 is: 474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.76 : 542.88 = 317.28 : x
  2. Step 2: Convert to fraction form
    362.76/542.88 = 317.28/x
  3. Step 3: Cross multiply
    362.76x = 542.88 × 317.28
  4. Step 4: Simplify right side
    362.76x = 172,244.97
  5. Step 5: Solve for x
    x = 172,244.97/362.76
  6. Step 6: Final answer
    x = 474.82

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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.