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Finding the Fourth Proportional to 282.54, 423.80 and 77.12

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Solution

The fourth proportional to 282.54, 423.80 and 77.12 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.54 : 423.80 = 77.12 : x
  2. Step 2: Convert to fraction form
    282.54/423.80 = 77.12/x
  3. Step 3: Cross multiply
    282.54x = 423.80 × 77.12
  4. Step 4: Simplify right side
    282.54x = 32,683.46
  5. Step 5: Solve for x
    x = 32,683.46/282.54
  6. Step 6: Final answer
    x = 115.68

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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.