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Finding the Fourth Proportional to 66.02, 99.14 and 39.14

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Solution

The fourth proportional to 66.02, 99.14 and 39.14 is: 58.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.02 : 99.14 = 39.14 : x
  2. Step 2: Convert to fraction form
    66.02/99.14 = 39.14/x
  3. Step 3: Cross multiply
    66.02x = 99.14 × 39.14
  4. Step 4: Simplify right side
    66.02x = 3,880.34
  5. Step 5: Solve for x
    x = 3,880.34/66.02
  6. Step 6: Final answer
    x = 58.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.