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Finding the Fourth Proportional to 171.91, 256.59 and 150.37

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Solution

The fourth proportional to 171.91, 256.59 and 150.37 is: 224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.91 : 256.59 = 150.37 : x
  2. Step 2: Convert to fraction form
    171.91/256.59 = 150.37/x
  3. Step 3: Cross multiply
    171.91x = 256.59 × 150.37
  4. Step 4: Simplify right side
    171.91x = 38,581.40
  5. Step 5: Solve for x
    x = 38,581.40/171.91
  6. Step 6: Final answer
    x = 224.43

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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.