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Finding the Fourth Proportional to 66.24, 99.41 and 59.49

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Solution

The fourth proportional to 66.24, 99.41 and 59.49 is: 89.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.24 : 99.41 = 59.49 : x
  2. Step 2: Convert to fraction form
    66.24/99.41 = 59.49/x
  3. Step 3: Cross multiply
    66.24x = 99.41 × 59.49
  4. Step 4: Simplify right side
    66.24x = 5,913.60
  5. Step 5: Solve for x
    x = 5,913.60/66.24
  6. Step 6: Final answer
    x = 89.28

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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.