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Finding the Fourth Proportional to 42.10, 57.70 and 41.87

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Solution

The fourth proportional to 42.10, 57.70 and 41.87 is: 57.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.10 : 57.70 = 41.87 : x
  2. Step 2: Convert to fraction form
    42.10/57.70 = 41.87/x
  3. Step 3: Cross multiply
    42.10x = 57.70 × 41.87
  4. Step 4: Simplify right side
    42.10x = 2,416.10
  5. Step 5: Solve for x
    x = 2,416.10/42.10
  6. Step 6: Final answer
    x = 57.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.