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Finding the Fourth Proportional to 97.39, 134.38 and 58.57

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Solution

The fourth proportional to 97.39, 134.38 and 58.57 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.39 : 134.38 = 58.57 : x
  2. Step 2: Convert to fraction form
    97.39/134.38 = 58.57/x
  3. Step 3: Cross multiply
    97.39x = 134.38 × 58.57
  4. Step 4: Simplify right side
    97.39x = 7,870.64
  5. Step 5: Solve for x
    x = 7,870.64/97.39
  6. Step 6: Final answer
    x = 80.82

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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.