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Finding the Fourth Proportional to 282.87, 423.95 and 159.30

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Solution

The fourth proportional to 282.87, 423.95 and 159.30 is: 238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.87 : 423.95 = 159.30 : x
  2. Step 2: Convert to fraction form
    282.87/423.95 = 159.30/x
  3. Step 3: Cross multiply
    282.87x = 423.95 × 159.30
  4. Step 4: Simplify right side
    282.87x = 67,534.44
  5. Step 5: Solve for x
    x = 67,534.44/282.87
  6. Step 6: Final answer
    x = 238.75

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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.