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Finding the Fourth Proportional to 45.46, 67.84 and 42.77

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Solution

The fourth proportional to 45.46, 67.84 and 42.77 is: 63.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.46 : 67.84 = 42.77 : x
  2. Step 2: Convert to fraction form
    45.46/67.84 = 42.77/x
  3. Step 3: Cross multiply
    45.46x = 67.84 × 42.77
  4. Step 4: Simplify right side
    45.46x = 2,901.52
  5. Step 5: Solve for x
    x = 2,901.52/45.46
  6. Step 6: Final answer
    x = 63.83

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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.