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Finding the Fourth Proportional to 281.65, 422.58 and 127.61

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Solution

The fourth proportional to 281.65, 422.58 and 127.61 is: 191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.65 : 422.58 = 127.61 : x
  2. Step 2: Convert to fraction form
    281.65/422.58 = 127.61/x
  3. Step 3: Cross multiply
    281.65x = 422.58 × 127.61
  4. Step 4: Simplify right side
    281.65x = 53,925.43
  5. Step 5: Solve for x
    x = 53,925.43/281.65
  6. Step 6: Final answer
    x = 191.46

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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.