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Finding the Fourth Proportional to 59.98, 90.02 and 43.78

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Solution

The fourth proportional to 59.98, 90.02 and 43.78 is: 65.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.98 : 90.02 = 43.78 : x
  2. Step 2: Convert to fraction form
    59.98/90.02 = 43.78/x
  3. Step 3: Cross multiply
    59.98x = 90.02 × 43.78
  4. Step 4: Simplify right side
    59.98x = 3,941.08
  5. Step 5: Solve for x
    x = 3,941.08/59.98
  6. Step 6: Final answer
    x = 65.71

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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.