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Finding the Fourth Proportional to 184.84, 256.31 and 178.69

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Solution

The fourth proportional to 184.84, 256.31 and 178.69 is: 247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.84 : 256.31 = 178.69 : x
  2. Step 2: Convert to fraction form
    184.84/256.31 = 178.69/x
  3. Step 3: Cross multiply
    184.84x = 256.31 × 178.69
  4. Step 4: Simplify right side
    184.84x = 45,800.03
  5. Step 5: Solve for x
    x = 45,800.03/184.84
  6. Step 6: Final answer
    x = 247.78

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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.