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Finding the Fourth Proportional to 282.57, 423.83 and 77.14

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Solution

The fourth proportional to 282.57, 423.83 and 77.14 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.57 : 423.83 = 77.14 : x
  2. Step 2: Convert to fraction form
    282.57/423.83 = 77.14/x
  3. Step 3: Cross multiply
    282.57x = 423.83 × 77.14
  4. Step 4: Simplify right side
    282.57x = 32,694.97
  5. Step 5: Solve for x
    x = 32,694.97/282.57
  6. Step 6: Final answer
    x = 115.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.