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Finding the Fourth Proportional to 66.94, 100.42 and 24.18

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Solution

The fourth proportional to 66.94, 100.42 and 24.18 is: 36.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.94 : 100.42 = 24.18 : x
  2. Step 2: Convert to fraction form
    66.94/100.42 = 24.18/x
  3. Step 3: Cross multiply
    66.94x = 100.42 × 24.18
  4. Step 4: Simplify right side
    66.94x = 2,428.16
  5. Step 5: Solve for x
    x = 2,428.16/66.94
  6. Step 6: Final answer
    x = 36.27

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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.