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Finding the Fourth Proportional to 55.11, 76.07 and 42.80

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Solution

The fourth proportional to 55.11, 76.07 and 42.80 is: 59.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.11 : 76.07 = 42.80 : x
  2. Step 2: Convert to fraction form
    55.11/76.07 = 42.80/x
  3. Step 3: Cross multiply
    55.11x = 76.07 × 42.80
  4. Step 4: Simplify right side
    55.11x = 3,255.20
  5. Step 5: Solve for x
    x = 3,255.20/55.11
  6. Step 6: Final answer
    x = 59.07

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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.