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Finding the Fourth Proportional to 43.28, 65.26 and 42.77

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Solution

The fourth proportional to 43.28, 65.26 and 42.77 is: 64.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.28 : 65.26 = 42.77 : x
  2. Step 2: Convert to fraction form
    43.28/65.26 = 42.77/x
  3. Step 3: Cross multiply
    43.28x = 65.26 × 42.77
  4. Step 4: Simplify right side
    43.28x = 2,791.17
  5. Step 5: Solve for x
    x = 2,791.17/43.28
  6. Step 6: Final answer
    x = 64.49

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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.