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Finding the Fourth Proportional to 187.52, 279.36 and 178.34

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Solution

The fourth proportional to 187.52, 279.36 and 178.34 is: 265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.52 : 279.36 = 178.34 : x
  2. Step 2: Convert to fraction form
    187.52/279.36 = 178.34/x
  3. Step 3: Cross multiply
    187.52x = 279.36 × 178.34
  4. Step 4: Simplify right side
    187.52x = 49,821.06
  5. Step 5: Solve for x
    x = 49,821.06/187.52
  6. Step 6: Final answer
    x = 265.68

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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.