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Finding the Fourth Proportional to 187.48, 279.18 and 178.15

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Solution

The fourth proportional to 187.48, 279.18 and 178.15 is: 265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.48 : 279.18 = 178.15 : x
  2. Step 2: Convert to fraction form
    187.48/279.18 = 178.15/x
  3. Step 3: Cross multiply
    187.48x = 279.18 × 178.15
  4. Step 4: Simplify right side
    187.48x = 49,735.92
  5. Step 5: Solve for x
    x = 49,735.92/187.48
  6. Step 6: Final answer
    x = 265.29

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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.