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Finding the Fourth Proportional to 171.55, 256.07 and 151.04

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Solution

The fourth proportional to 171.55, 256.07 and 151.04 is: 225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.55 : 256.07 = 151.04 : x
  2. Step 2: Convert to fraction form
    171.55/256.07 = 151.04/x
  3. Step 3: Cross multiply
    171.55x = 256.07 × 151.04
  4. Step 4: Simplify right side
    171.55x = 38,676.70
  5. Step 5: Solve for x
    x = 38,676.70/171.55
  6. Step 6: Final answer
    x = 225.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.