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Finding the Fourth Proportional to 171.58, 256.12 and 158.89

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Solution

The fourth proportional to 171.58, 256.12 and 158.89 is: 237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.58 : 256.12 = 158.89 : x
  2. Step 2: Convert to fraction form
    171.58/256.12 = 158.89/x
  3. Step 3: Cross multiply
    171.58x = 256.12 × 158.89
  4. Step 4: Simplify right side
    171.58x = 40,693.87
  5. Step 5: Solve for x
    x = 40,693.87/171.58
  6. Step 6: Final answer
    x = 237.17

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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.