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Finding the Fourth Proportional to 281.91, 422.59 and 135.45

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Solution

The fourth proportional to 281.91, 422.59 and 135.45 is: 203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.91 : 422.59 = 135.45 : x
  2. Step 2: Convert to fraction form
    281.91/422.59 = 135.45/x
  3. Step 3: Cross multiply
    281.91x = 422.59 × 135.45
  4. Step 4: Simplify right side
    281.91x = 57,238.96
  5. Step 5: Solve for x
    x = 57,238.96/281.91
  6. Step 6: Final answer
    x = 203.04

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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.