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Finding the Fourth Proportional to 44.90, 66.87 and 42.09

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Solution

The fourth proportional to 44.90, 66.87 and 42.09 is: 62.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.90 : 66.87 = 42.09 : x
  2. Step 2: Convert to fraction form
    44.90/66.87 = 42.09/x
  3. Step 3: Cross multiply
    44.90x = 66.87 × 42.09
  4. Step 4: Simplify right side
    44.90x = 2,814.56
  5. Step 5: Solve for x
    x = 2,814.56/44.90
  6. Step 6: Final answer
    x = 62.68

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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.