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Finding the Fourth Proportional to 185.84, 257.70 and 179.69

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Solution

The fourth proportional to 185.84, 257.70 and 179.69 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.84 : 257.70 = 179.69 : x
  2. Step 2: Convert to fraction form
    185.84/257.70 = 179.69/x
  3. Step 3: Cross multiply
    185.84x = 257.70 × 179.69
  4. Step 4: Simplify right side
    185.84x = 46,306.11
  5. Step 5: Solve for x
    x = 46,306.11/185.84
  6. Step 6: Final answer
    x = 249.17

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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.