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Finding the Fourth Proportional to 318.31, 476.85 and 156.11

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Solution

The fourth proportional to 318.31, 476.85 and 156.11 is: 233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.31 : 476.85 = 156.11 : x
  2. Step 2: Convert to fraction form
    318.31/476.85 = 156.11/x
  3. Step 3: Cross multiply
    318.31x = 476.85 × 156.11
  4. Step 4: Simplify right side
    318.31x = 74,441.05
  5. Step 5: Solve for x
    x = 74,441.05/318.31
  6. Step 6: Final answer
    x = 233.86

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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.