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Finding the Fourth Proportional to 66.33, 91.62 and 63.63

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Solution

The fourth proportional to 66.33, 91.62 and 63.63 is: 87.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.33 : 91.62 = 63.63 : x
  2. Step 2: Convert to fraction form
    66.33/91.62 = 63.63/x
  3. Step 3: Cross multiply
    66.33x = 91.62 × 63.63
  4. Step 4: Simplify right side
    66.33x = 5,829.78
  5. Step 5: Solve for x
    x = 5,829.78/66.33
  6. Step 6: Final answer
    x = 87.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.