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Finding the Fourth Proportional to 224.64, 310.08 and 197.04

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Solution

The fourth proportional to 224.64, 310.08 and 197.04 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.64 : 310.08 = 197.04 : x
  2. Step 2: Convert to fraction form
    224.64/310.08 = 197.04/x
  3. Step 3: Cross multiply
    224.64x = 310.08 × 197.04
  4. Step 4: Simplify right side
    224.64x = 61,098.16
  5. Step 5: Solve for x
    x = 61,098.16/224.64
  6. Step 6: Final answer
    x = 271.98

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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.