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Finding the Fourth Proportional to 185.46, 256.06 and 115.53

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Solution

The fourth proportional to 185.46, 256.06 and 115.53 is: 159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.46 : 256.06 = 115.53 : x
  2. Step 2: Convert to fraction form
    185.46/256.06 = 115.53/x
  3. Step 3: Cross multiply
    185.46x = 256.06 × 115.53
  4. Step 4: Simplify right side
    185.46x = 29,582.32
  5. Step 5: Solve for x
    x = 29,582.32/185.46
  6. Step 6: Final answer
    x = 159.51

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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.