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Finding the Fourth Proportional to 185.37, 256.88 and 183.15

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Solution

The fourth proportional to 185.37, 256.88 and 183.15 is: 253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.37 : 256.88 = 183.15 : x
  2. Step 2: Convert to fraction form
    185.37/256.88 = 183.15/x
  3. Step 3: Cross multiply
    185.37x = 256.88 × 183.15
  4. Step 4: Simplify right side
    185.37x = 47,046.66
  5. Step 5: Solve for x
    x = 47,046.66/185.37
  6. Step 6: Final answer
    x = 253.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.