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Finding the Fourth Proportional to 316.01, 472.80 and 179.12

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Solution

The fourth proportional to 316.01, 472.80 and 179.12 is: 267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.01 : 472.80 = 179.12 : x
  2. Step 2: Convert to fraction form
    316.01/472.80 = 179.12/x
  3. Step 3: Cross multiply
    316.01x = 472.80 × 179.12
  4. Step 4: Simplify right side
    316.01x = 84,687.94
  5. Step 5: Solve for x
    x = 84,687.94/316.01
  6. Step 6: Final answer
    x = 267.99

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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.