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Finding the Fourth Proportional to 187.72, 279.64 and 178.36

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Solution

The fourth proportional to 187.72, 279.64 and 178.36 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.72 : 279.64 = 178.36 : x
  2. Step 2: Convert to fraction form
    187.72/279.64 = 178.36/x
  3. Step 3: Cross multiply
    187.72x = 279.64 × 178.36
  4. Step 4: Simplify right side
    187.72x = 49,876.59
  5. Step 5: Solve for x
    x = 49,876.59/187.72
  6. Step 6: Final answer
    x = 265.70

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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.