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Finding the Fourth Proportional to 61.07, 91.53 and 39.43

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Solution

The fourth proportional to 61.07, 91.53 and 39.43 is: 59.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.07 : 91.53 = 39.43 : x
  2. Step 2: Convert to fraction form
    61.07/91.53 = 39.43/x
  3. Step 3: Cross multiply
    61.07x = 91.53 × 39.43
  4. Step 4: Simplify right side
    61.07x = 3,609.03
  5. Step 5: Solve for x
    x = 3,609.03/61.07
  6. Step 6: Final answer
    x = 59.09

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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.