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Finding the Fourth Proportional to 44.82, 61.70 and 42.03

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Solution

The fourth proportional to 44.82, 61.70 and 42.03 is: 57.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.82 : 61.70 = 42.03 : x
  2. Step 2: Convert to fraction form
    44.82/61.70 = 42.03/x
  3. Step 3: Cross multiply
    44.82x = 61.70 × 42.03
  4. Step 4: Simplify right side
    44.82x = 2,593.04
  5. Step 5: Solve for x
    x = 2,593.04/44.82
  6. Step 6: Final answer
    x = 57.85

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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.