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Finding the Fourth Proportional to 63.45, 94.61 and 61.47

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Solution

The fourth proportional to 63.45, 94.61 and 61.47 is: 91.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.45 : 94.61 = 61.47 : x
  2. Step 2: Convert to fraction form
    63.45/94.61 = 61.47/x
  3. Step 3: Cross multiply
    63.45x = 94.61 × 61.47
  4. Step 4: Simplify right side
    63.45x = 5,815.83
  5. Step 5: Solve for x
    x = 5,815.83/63.45
  6. Step 6: Final answer
    x = 91.66

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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.