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Finding the Fourth Proportional to 254.61, 351.34 and 171.83

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Solution

The fourth proportional to 254.61, 351.34 and 171.83 is: 237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.61 : 351.34 = 171.83 : x
  2. Step 2: Convert to fraction form
    254.61/351.34 = 171.83/x
  3. Step 3: Cross multiply
    254.61x = 351.34 × 171.83
  4. Step 4: Simplify right side
    254.61x = 60,368.57
  5. Step 5: Solve for x
    x = 60,368.57/254.61
  6. Step 6: Final answer
    x = 237.11

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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.