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Finding the Fourth Proportional to 42.72, 58.89 and 30.41

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Solution

The fourth proportional to 42.72, 58.89 and 30.41 is: 41.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.72 : 58.89 = 30.41 : x
  2. Step 2: Convert to fraction form
    42.72/58.89 = 30.41/x
  3. Step 3: Cross multiply
    42.72x = 58.89 × 30.41
  4. Step 4: Simplify right side
    42.72x = 1,790.55
  5. Step 5: Solve for x
    x = 1,790.55/42.72
  6. Step 6: Final answer
    x = 41.91

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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.