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Finding the Fourth Proportional to 254.55, 351.22 and 149.64

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Solution

The fourth proportional to 254.55, 351.22 and 149.64 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.55 : 351.22 = 149.64 : x
  2. Step 2: Convert to fraction form
    254.55/351.22 = 149.64/x
  3. Step 3: Cross multiply
    254.55x = 351.22 × 149.64
  4. Step 4: Simplify right side
    254.55x = 52,557.78
  5. Step 5: Solve for x
    x = 52,557.78/254.55
  6. Step 6: Final answer
    x = 206.47

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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.