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Finding the Fourth Proportional to 55.98, 84.06 and 42.57

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Solution

The fourth proportional to 55.98, 84.06 and 42.57 is: 63.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.98 : 84.06 = 42.57 : x
  2. Step 2: Convert to fraction form
    55.98/84.06 = 42.57/x
  3. Step 3: Cross multiply
    55.98x = 84.06 × 42.57
  4. Step 4: Simplify right side
    55.98x = 3,578.43
  5. Step 5: Solve for x
    x = 3,578.43/55.98
  6. Step 6: Final answer
    x = 63.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.