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Finding the Fourth Proportional to 43.29, 65.28 and 40.77

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Solution

The fourth proportional to 43.29, 65.28 and 40.77 is: 61.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.29 : 65.28 = 40.77 : x
  2. Step 2: Convert to fraction form
    43.29/65.28 = 40.77/x
  3. Step 3: Cross multiply
    43.29x = 65.28 × 40.77
  4. Step 4: Simplify right side
    43.29x = 2,661.62
  5. Step 5: Solve for x
    x = 2,661.62/43.29
  6. Step 6: Final answer
    x = 61.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.