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Finding the Fourth Proportional to 254.30, 350.84 and 150.74

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Solution

The fourth proportional to 254.30, 350.84 and 150.74 is: 207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.30 : 350.84 = 150.74 : x
  2. Step 2: Convert to fraction form
    254.30/350.84 = 150.74/x
  3. Step 3: Cross multiply
    254.30x = 350.84 × 150.74
  4. Step 4: Simplify right side
    254.30x = 52,885.62
  5. Step 5: Solve for x
    x = 52,885.62/254.30
  6. Step 6: Final answer
    x = 207.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.