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Finding the Fourth Proportional to 187.18, 279.41 and 171.80

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Solution

The fourth proportional to 187.18, 279.41 and 171.80 is: 256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.18 : 279.41 = 171.80 : x
  2. Step 2: Convert to fraction form
    187.18/279.41 = 171.80/x
  3. Step 3: Cross multiply
    187.18x = 279.41 × 171.80
  4. Step 4: Simplify right side
    187.18x = 48,001.78
  5. Step 5: Solve for x
    x = 48,001.78/187.18
  6. Step 6: Final answer
    x = 256.45

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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.