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Finding the Fourth Proportional to 185.80, 279.97 and 154.01

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Solution

The fourth proportional to 185.80, 279.97 and 154.01 is: 232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.80 : 279.97 = 154.01 : x
  2. Step 2: Convert to fraction form
    185.80/279.97 = 154.01/x
  3. Step 3: Cross multiply
    185.80x = 279.97 × 154.01
  4. Step 4: Simplify right side
    185.80x = 43,118.28
  5. Step 5: Solve for x
    x = 43,118.28/185.80
  6. Step 6: Final answer
    x = 232.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.