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Finding the Fourth Proportional to 171.61, 256.09 and 153.38

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Solution

The fourth proportional to 171.61, 256.09 and 153.38 is: 228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.61 : 256.09 = 153.38 : x
  2. Step 2: Convert to fraction form
    171.61/256.09 = 153.38/x
  3. Step 3: Cross multiply
    171.61x = 256.09 × 153.38
  4. Step 4: Simplify right side
    171.61x = 39,279.08
  5. Step 5: Solve for x
    x = 39,279.08/171.61
  6. Step 6: Final answer
    x = 228.89

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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.