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Finding the Fourth Proportional to 316.72, 472.47 and 265.70

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Solution

The fourth proportional to 316.72, 472.47 and 265.70 is: 396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.72 : 472.47 = 265.70 : x
  2. Step 2: Convert to fraction form
    316.72/472.47 = 265.70/x
  3. Step 3: Cross multiply
    316.72x = 472.47 × 265.70
  4. Step 4: Simplify right side
    316.72x = 125,535.28
  5. Step 5: Solve for x
    x = 125,535.28/316.72
  6. Step 6: Final answer
    x = 396.36

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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.