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Finding the Fourth Proportional to 306.80, 423.43 and 224.18

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Solution

The fourth proportional to 306.80, 423.43 and 224.18 is: 309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.80 : 423.43 = 224.18 : x
  2. Step 2: Convert to fraction form
    306.80/423.43 = 224.18/x
  3. Step 3: Cross multiply
    306.80x = 423.43 × 224.18
  4. Step 4: Simplify right side
    306.80x = 94,921.86
  5. Step 5: Solve for x
    x = 94,921.86/306.80
  6. Step 6: Final answer
    x = 309.40

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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.