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Finding the Fourth Proportional to 169.98, 256.20 and 154.86

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Solution

The fourth proportional to 169.98, 256.20 and 154.86 is: 233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.98 : 256.20 = 154.86 : x
  2. Step 2: Convert to fraction form
    169.98/256.20 = 154.86/x
  3. Step 3: Cross multiply
    169.98x = 256.20 × 154.86
  4. Step 4: Simplify right side
    169.98x = 39,675.13
  5. Step 5: Solve for x
    x = 39,675.13/169.98
  6. Step 6: Final answer
    x = 233.41

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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.