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Finding the Fourth Proportional to 254.75, 381.89 and 100.65

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Solution

The fourth proportional to 254.75, 381.89 and 100.65 is: 150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 381.89 = 100.65 : x
  2. Step 2: Convert to fraction form
    254.75/381.89 = 100.65/x
  3. Step 3: Cross multiply
    254.75x = 381.89 × 100.65
  4. Step 4: Simplify right side
    254.75x = 38,437.48
  5. Step 5: Solve for x
    x = 38,437.48/254.75
  6. Step 6: Final answer
    x = 150.88

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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.