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Finding the Fourth Proportional to 185.78, 256.62 and 142.65

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Solution

The fourth proportional to 185.78, 256.62 and 142.65 is: 197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.78 : 256.62 = 142.65 : x
  2. Step 2: Convert to fraction form
    185.78/256.62 = 142.65/x
  3. Step 3: Cross multiply
    185.78x = 256.62 × 142.65
  4. Step 4: Simplify right side
    185.78x = 36,606.84
  5. Step 5: Solve for x
    x = 36,606.84/185.78
  6. Step 6: Final answer
    x = 197.05

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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.