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Finding the Fourth Proportional to 185.71, 278.56 and 77.50

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Solution

The fourth proportional to 185.71, 278.56 and 77.50 is: 116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.71 : 278.56 = 77.50 : x
  2. Step 2: Convert to fraction form
    185.71/278.56 = 77.50/x
  3. Step 3: Cross multiply
    185.71x = 278.56 × 77.50
  4. Step 4: Simplify right side
    185.71x = 21,588.90
  5. Step 5: Solve for x
    x = 21,588.90/185.71
  6. Step 6: Final answer
    x = 116.25

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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.