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Finding the Fourth Proportional to 130.31, 195.49 and 57.14

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Solution

The fourth proportional to 130.31, 195.49 and 57.14 is: 85.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.31 : 195.49 = 57.14 : x
  2. Step 2: Convert to fraction form
    130.31/195.49 = 57.14/x
  3. Step 3: Cross multiply
    130.31x = 195.49 × 57.14
  4. Step 4: Simplify right side
    130.31x = 11,170.30
  5. Step 5: Solve for x
    x = 11,170.30/130.31
  6. Step 6: Final answer
    x = 85.72

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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.