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Finding the Fourth Proportional to 43.53, 64.97 and 42.51

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Solution

The fourth proportional to 43.53, 64.97 and 42.51 is: 63.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.53 : 64.97 = 42.51 : x
  2. Step 2: Convert to fraction form
    43.53/64.97 = 42.51/x
  3. Step 3: Cross multiply
    43.53x = 64.97 × 42.51
  4. Step 4: Simplify right side
    43.53x = 2,761.70
  5. Step 5: Solve for x
    x = 2,761.70/43.53
  6. Step 6: Final answer
    x = 63.44

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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.