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Finding the Fourth Proportional to 310.82, 429.00 and 179.90

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Solution

The fourth proportional to 310.82, 429.00 and 179.90 is: 248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.82 : 429.00 = 179.90 : x
  2. Step 2: Convert to fraction form
    310.82/429.00 = 179.90/x
  3. Step 3: Cross multiply
    310.82x = 429.00 × 179.90
  4. Step 4: Simplify right side
    310.82x = 77,176.20
  5. Step 5: Solve for x
    x = 77,176.20/310.82
  6. Step 6: Final answer
    x = 248.30

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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.