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Finding the Fourth Proportional to 43.61, 64.98 and 42.23

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Solution

The fourth proportional to 43.61, 64.98 and 42.23 is: 62.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.61 : 64.98 = 42.23 : x
  2. Step 2: Convert to fraction form
    43.61/64.98 = 42.23/x
  3. Step 3: Cross multiply
    43.61x = 64.98 × 42.23
  4. Step 4: Simplify right side
    43.61x = 2,743.78
  5. Step 5: Solve for x
    x = 2,743.78/43.61
  6. Step 6: Final answer
    x = 62.92

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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.