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Finding the Fourth Proportional to 185.49, 256.01 and 138.80

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Solution

The fourth proportional to 185.49, 256.01 and 138.80 is: 191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.49 : 256.01 = 138.80 : x
  2. Step 2: Convert to fraction form
    185.49/256.01 = 138.80/x
  3. Step 3: Cross multiply
    185.49x = 256.01 × 138.80
  4. Step 4: Simplify right side
    185.49x = 35,534.13
  5. Step 5: Solve for x
    x = 35,534.13/185.49
  6. Step 6: Final answer
    x = 191.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.