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Finding the Fourth Proportional to 43.87, 65.40 and 40.02

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Solution

The fourth proportional to 43.87, 65.40 and 40.02 is: 59.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.87 : 65.40 = 40.02 : x
  2. Step 2: Convert to fraction form
    43.87/65.40 = 40.02/x
  3. Step 3: Cross multiply
    43.87x = 65.40 × 40.02
  4. Step 4: Simplify right side
    43.87x = 2,616.98
  5. Step 5: Solve for x
    x = 2,616.98/43.87
  6. Step 6: Final answer
    x = 59.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.