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Finding the Fourth Proportional to 42.59, 58.70 and 41.78

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Solution

The fourth proportional to 42.59, 58.70 and 41.78 is: 57.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.59 : 58.70 = 41.78 : x
  2. Step 2: Convert to fraction form
    42.59/58.70 = 41.78/x
  3. Step 3: Cross multiply
    42.59x = 58.70 × 41.78
  4. Step 4: Simplify right side
    42.59x = 2,451.98
  5. Step 5: Solve for x
    x = 2,451.98/42.59
  6. Step 6: Final answer
    x = 57.58

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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.