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Finding the Fourth Proportional to 224.08, 334.65 and 195.28

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Solution

The fourth proportional to 224.08, 334.65 and 195.28 is: 291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.08 : 334.65 = 195.28 : x
  2. Step 2: Convert to fraction form
    224.08/334.65 = 195.28/x
  3. Step 3: Cross multiply
    224.08x = 334.65 × 195.28
  4. Step 4: Simplify right side
    224.08x = 65,350.45
  5. Step 5: Solve for x
    x = 65,350.45/224.08
  6. Step 6: Final answer
    x = 291.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.