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Finding the Fourth Proportional to 171.58, 256.03 and 153.42

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Solution

The fourth proportional to 171.58, 256.03 and 153.42 is: 228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.58 : 256.03 = 153.42 : x
  2. Step 2: Convert to fraction form
    171.58/256.03 = 153.42/x
  3. Step 3: Cross multiply
    171.58x = 256.03 × 153.42
  4. Step 4: Simplify right side
    171.58x = 39,279.36
  5. Step 5: Solve for x
    x = 39,279.36/171.58
  6. Step 6: Final answer
    x = 228.93

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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.