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Finding the Fourth Proportional to 94.29, 130.09 and 59.31

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Solution

The fourth proportional to 94.29, 130.09 and 59.31 is: 81.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.29 : 130.09 = 59.31 : x
  2. Step 2: Convert to fraction form
    94.29/130.09 = 59.31/x
  3. Step 3: Cross multiply
    94.29x = 130.09 × 59.31
  4. Step 4: Simplify right side
    94.29x = 7,715.64
  5. Step 5: Solve for x
    x = 7,715.64/94.29
  6. Step 6: Final answer
    x = 81.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.