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Finding the Fourth Proportional to 187.37, 278.92 and 178.53

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Solution

The fourth proportional to 187.37, 278.92 and 178.53 is: 265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.37 : 278.92 = 178.53 : x
  2. Step 2: Convert to fraction form
    187.37/278.92 = 178.53/x
  3. Step 3: Cross multiply
    187.37x = 278.92 × 178.53
  4. Step 4: Simplify right side
    187.37x = 49,795.59
  5. Step 5: Solve for x
    x = 49,795.59/187.37
  6. Step 6: Final answer
    x = 265.76

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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.