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Finding the Fourth Proportional to 61.67, 91.99 and 52.55

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Solution

The fourth proportional to 61.67, 91.99 and 52.55 is: 78.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.67 : 91.99 = 52.55 : x
  2. Step 2: Convert to fraction form
    61.67/91.99 = 52.55/x
  3. Step 3: Cross multiply
    61.67x = 91.99 × 52.55
  4. Step 4: Simplify right side
    61.67x = 4,833.81
  5. Step 5: Solve for x
    x = 4,833.81/61.67
  6. Step 6: Final answer
    x = 78.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.