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Finding the Fourth Proportional to 43.42, 59.85 and 40.72

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Solution

The fourth proportional to 43.42, 59.85 and 40.72 is: 56.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.42 : 59.85 = 40.72 : x
  2. Step 2: Convert to fraction form
    43.42/59.85 = 40.72/x
  3. Step 3: Cross multiply
    43.42x = 59.85 × 40.72
  4. Step 4: Simplify right side
    43.42x = 2,437.09
  5. Step 5: Solve for x
    x = 2,437.09/43.42
  6. Step 6: Final answer
    x = 56.13

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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.