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Finding the Fourth Proportional to 282.78, 423.99 and 118.20

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Solution

The fourth proportional to 282.78, 423.99 and 118.20 is: 177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 423.99 = 118.20 : x
  2. Step 2: Convert to fraction form
    282.78/423.99 = 118.20/x
  3. Step 3: Cross multiply
    282.78x = 423.99 × 118.20
  4. Step 4: Simplify right side
    282.78x = 50,115.62
  5. Step 5: Solve for x
    x = 50,115.62/282.78
  6. Step 6: Final answer
    x = 177.22

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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.