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Finding the Fourth Proportional to 185.88, 256.20 and 154.91

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Solution

The fourth proportional to 185.88, 256.20 and 154.91 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.88 : 256.20 = 154.91 : x
  2. Step 2: Convert to fraction form
    185.88/256.20 = 154.91/x
  3. Step 3: Cross multiply
    185.88x = 256.20 × 154.91
  4. Step 4: Simplify right side
    185.88x = 39,686.66
  5. Step 5: Solve for x
    x = 39,686.66/185.88
  6. Step 6: Final answer
    x = 213.51

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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.