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Finding the Fourth Proportional to 316.34, 472.12 and 308.15

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Solution

The fourth proportional to 316.34, 472.12 and 308.15 is: 459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.34 : 472.12 = 308.15 : x
  2. Step 2: Convert to fraction form
    316.34/472.12 = 308.15/x
  3. Step 3: Cross multiply
    316.34x = 472.12 × 308.15
  4. Step 4: Simplify right side
    316.34x = 145,483.78
  5. Step 5: Solve for x
    x = 145,483.78/316.34
  6. Step 6: Final answer
    x = 459.90

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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.