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Finding the Fourth Proportional to 187.31, 279.27 and 171.75

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Solution

The fourth proportional to 187.31, 279.27 and 171.75 is: 256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.31 : 279.27 = 171.75 : x
  2. Step 2: Convert to fraction form
    187.31/279.27 = 171.75/x
  3. Step 3: Cross multiply
    187.31x = 279.27 × 171.75
  4. Step 4: Simplify right side
    187.31x = 47,964.62
  5. Step 5: Solve for x
    x = 47,964.62/187.31
  6. Step 6: Final answer
    x = 256.08

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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.