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Finding the Fourth Proportional to 61.92, 93.36 and 61.16

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Solution

The fourth proportional to 61.92, 93.36 and 61.16 is: 92.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.92 : 93.36 = 61.16 : x
  2. Step 2: Convert to fraction form
    61.92/93.36 = 61.16/x
  3. Step 3: Cross multiply
    61.92x = 93.36 × 61.16
  4. Step 4: Simplify right side
    61.92x = 5,709.43
  5. Step 5: Solve for x
    x = 5,709.43/61.92
  6. Step 6: Final answer
    x = 92.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.