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Finding the Fourth Proportional to 254.97, 351.74 and 150.05

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Solution

The fourth proportional to 254.97, 351.74 and 150.05 is: 206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.97 : 351.74 = 150.05 : x
  2. Step 2: Convert to fraction form
    254.97/351.74 = 150.05/x
  3. Step 3: Cross multiply
    254.97x = 351.74 × 150.05
  4. Step 4: Simplify right side
    254.97x = 52,776.08
  5. Step 5: Solve for x
    x = 52,776.08/254.97
  6. Step 6: Final answer
    x = 206.99

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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.