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Finding the Fourth Proportional to 43.74, 65.34 and 41.45

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Solution

The fourth proportional to 43.74, 65.34 and 41.45 is: 61.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.74 : 65.34 = 41.45 : x
  2. Step 2: Convert to fraction form
    43.74/65.34 = 41.45/x
  3. Step 3: Cross multiply
    43.74x = 65.34 × 41.45
  4. Step 4: Simplify right side
    43.74x = 2,708.02
  5. Step 5: Solve for x
    x = 2,708.02/43.74
  6. Step 6: Final answer
    x = 61.91

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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.