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Finding the Fourth Proportional to 310.85, 428.95 and 179.90

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Solution

The fourth proportional to 310.85, 428.95 and 179.90 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.85 : 428.95 = 179.90 : x
  2. Step 2: Convert to fraction form
    310.85/428.95 = 179.90/x
  3. Step 3: Cross multiply
    310.85x = 428.95 × 179.90
  4. Step 4: Simplify right side
    310.85x = 77,166.19
  5. Step 5: Solve for x
    x = 77,166.19/310.85
  6. Step 6: Final answer
    x = 248.25

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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.