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Finding the Fourth Proportional to 61.32, 84.27 and 52.68

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Solution

The fourth proportional to 61.32, 84.27 and 52.68 is: 72.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.32 : 84.27 = 52.68 : x
  2. Step 2: Convert to fraction form
    61.32/84.27 = 52.68/x
  3. Step 3: Cross multiply
    61.32x = 84.27 × 52.68
  4. Step 4: Simplify right side
    61.32x = 4,439.34
  5. Step 5: Solve for x
    x = 4,439.34/61.32
  6. Step 6: Final answer
    x = 72.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.