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Finding the Fourth Proportional to 63.50, 94.60 and 61.16

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Solution

The fourth proportional to 63.50, 94.60 and 61.16 is: 91.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.50 : 94.60 = 61.16 : x
  2. Step 2: Convert to fraction form
    63.50/94.60 = 61.16/x
  3. Step 3: Cross multiply
    63.50x = 94.60 × 61.16
  4. Step 4: Simplify right side
    63.50x = 5,785.74
  5. Step 5: Solve for x
    x = 5,785.74/63.50
  6. Step 6: Final answer
    x = 91.11

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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.