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Finding the Fourth Proportional to 224.98, 310.62 and 159.55

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Solution

The fourth proportional to 224.98, 310.62 and 159.55 is: 220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.98 : 310.62 = 159.55 : x
  2. Step 2: Convert to fraction form
    224.98/310.62 = 159.55/x
  3. Step 3: Cross multiply
    224.98x = 310.62 × 159.55
  4. Step 4: Simplify right side
    224.98x = 49,559.42
  5. Step 5: Solve for x
    x = 49,559.42/224.98
  6. Step 6: Final answer
    x = 220.28

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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.