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Finding the Fourth Proportional to 185.64, 256.14 and 115.64

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Solution

The fourth proportional to 185.64, 256.14 and 115.64 is: 159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.64 : 256.14 = 115.64 : x
  2. Step 2: Convert to fraction form
    185.64/256.14 = 115.64/x
  3. Step 3: Cross multiply
    185.64x = 256.14 × 115.64
  4. Step 4: Simplify right side
    185.64x = 29,618.75
  5. Step 5: Solve for x
    x = 29,618.75/185.64
  6. Step 6: Final answer
    x = 159.55

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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.