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Finding the Fourth Proportional to 57.98, 79.94 and 42.18

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Solution

The fourth proportional to 57.98, 79.94 and 42.18 is: 58.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.98 : 79.94 = 42.18 : x
  2. Step 2: Convert to fraction form
    57.98/79.94 = 42.18/x
  3. Step 3: Cross multiply
    57.98x = 79.94 × 42.18
  4. Step 4: Simplify right side
    57.98x = 3,371.87
  5. Step 5: Solve for x
    x = 3,371.87/57.98
  6. Step 6: Final answer
    x = 58.16

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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.