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Finding the Fourth Proportional to 130.89, 196.17 and 58.60

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Solution

The fourth proportional to 130.89, 196.17 and 58.60 is: 87.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.89 : 196.17 = 58.60 : x
  2. Step 2: Convert to fraction form
    130.89/196.17 = 58.60/x
  3. Step 3: Cross multiply
    130.89x = 196.17 × 58.60
  4. Step 4: Simplify right side
    130.89x = 11,495.56
  5. Step 5: Solve for x
    x = 11,495.56/130.89
  6. Step 6: Final answer
    x = 87.83

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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.