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Finding the Fourth Proportional to 61.40, 91.66 and 52.90

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Solution

The fourth proportional to 61.40, 91.66 and 52.90 is: 78.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.40 : 91.66 = 52.90 : x
  2. Step 2: Convert to fraction form
    61.40/91.66 = 52.90/x
  3. Step 3: Cross multiply
    61.40x = 91.66 × 52.90
  4. Step 4: Simplify right side
    61.40x = 4,848.09
  5. Step 5: Solve for x
    x = 4,848.09/61.40
  6. Step 6: Final answer
    x = 78.96

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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.