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Finding the Fourth Proportional to 282.42, 423.27 and 137.82

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Solution

The fourth proportional to 282.42, 423.27 and 137.82 is: 206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 423.27 = 137.82 : x
  2. Step 2: Convert to fraction form
    282.42/423.27 = 137.82/x
  3. Step 3: Cross multiply
    282.42x = 423.27 × 137.82
  4. Step 4: Simplify right side
    282.42x = 58,335.07
  5. Step 5: Solve for x
    x = 58,335.07/282.42
  6. Step 6: Final answer
    x = 206.55

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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.