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Finding the Fourth Proportional to 171.78, 256.19 and 159

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Solution

The fourth proportional to 171.78, 256.19 and 159 is: 237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.78 : 256.19 = 159 : x
  2. Step 2: Convert to fraction form
    171.78/256.19 = 159/x
  3. Step 3: Cross multiply
    171.78x = 256.19 × 159
  4. Step 4: Simplify right side
    171.78x = 40,733.42
  5. Step 5: Solve for x
    x = 40,733.42/171.78
  6. Step 6: Final answer
    x = 237.13

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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.