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Finding the Fourth Proportional to 186.65, 256.46 and 184.76

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Solution

The fourth proportional to 186.65, 256.46 and 184.76 is: 253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.65 : 256.46 = 184.76 : x
  2. Step 2: Convert to fraction form
    186.65/256.46 = 184.76/x
  3. Step 3: Cross multiply
    186.65x = 256.46 × 184.76
  4. Step 4: Simplify right side
    186.65x = 47,382.73
  5. Step 5: Solve for x
    x = 47,382.73/186.65
  6. Step 6: Final answer
    x = 253.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.