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Finding the Fourth Proportional to 316.48, 472.11 and 294.38

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Solution

The fourth proportional to 316.48, 472.11 and 294.38 is: 439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.48 : 472.11 = 294.38 : x
  2. Step 2: Convert to fraction form
    316.48/472.11 = 294.38/x
  3. Step 3: Cross multiply
    316.48x = 472.11 × 294.38
  4. Step 4: Simplify right side
    316.48x = 138,979.74
  5. Step 5: Solve for x
    x = 138,979.74/316.48
  6. Step 6: Final answer
    x = 439.15

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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.