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Finding the Fourth Proportional to 42.84, 63.86 and 40.14

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Solution

The fourth proportional to 42.84, 63.86 and 40.14 is: 59.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.84 : 63.86 = 40.14 : x
  2. Step 2: Convert to fraction form
    42.84/63.86 = 40.14/x
  3. Step 3: Cross multiply
    42.84x = 63.86 × 40.14
  4. Step 4: Simplify right side
    42.84x = 2,563.14
  5. Step 5: Solve for x
    x = 2,563.14/42.84
  6. Step 6: Final answer
    x = 59.83

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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.