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Finding the Fourth Proportional to 316.47, 472.56 and 254.52

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Solution

The fourth proportional to 316.47, 472.56 and 254.52 is: 380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.47 : 472.56 = 254.52 : x
  2. Step 2: Convert to fraction form
    316.47/472.56 = 254.52/x
  3. Step 3: Cross multiply
    316.47x = 472.56 × 254.52
  4. Step 4: Simplify right side
    316.47x = 120,275.97
  5. Step 5: Solve for x
    x = 120,275.97/316.47
  6. Step 6: Final answer
    x = 380.05

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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.