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Finding the Fourth Proportional to 171.17, 258.14 and 157.80

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Solution

The fourth proportional to 171.17, 258.14 and 157.80 is: 237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.17 : 258.14 = 157.80 : x
  2. Step 2: Convert to fraction form
    171.17/258.14 = 157.80/x
  3. Step 3: Cross multiply
    171.17x = 258.14 × 157.80
  4. Step 4: Simplify right side
    171.17x = 40,734.49
  5. Step 5: Solve for x
    x = 40,734.49/171.17
  6. Step 6: Final answer
    x = 237.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.