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Finding the Fourth Proportional to 185.51, 278.31 and 77.24

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Solution

The fourth proportional to 185.51, 278.31 and 77.24 is: 115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.51 : 278.31 = 77.24 : x
  2. Step 2: Convert to fraction form
    185.51/278.31 = 77.24/x
  3. Step 3: Cross multiply
    185.51x = 278.31 × 77.24
  4. Step 4: Simplify right side
    185.51x = 21,496.66
  5. Step 5: Solve for x
    x = 21,496.66/185.51
  6. Step 6: Final answer
    x = 115.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.