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Finding the Fourth Proportional to 319.31, 475.17 and 315.89

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Solution

The fourth proportional to 319.31, 475.17 and 315.89 is: 470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.31 : 475.17 = 315.89 : x
  2. Step 2: Convert to fraction form
    319.31/475.17 = 315.89/x
  3. Step 3: Cross multiply
    319.31x = 475.17 × 315.89
  4. Step 4: Simplify right side
    319.31x = 150,099.08
  5. Step 5: Solve for x
    x = 150,099.08/319.31
  6. Step 6: Final answer
    x = 470.08

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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.