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Finding the Fourth Proportional to 306.96, 423.18 and 224.07

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Solution

The fourth proportional to 306.96, 423.18 and 224.07 is: 308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 423.18 = 224.07 : x
  2. Step 2: Convert to fraction form
    306.96/423.18 = 224.07/x
  3. Step 3: Cross multiply
    306.96x = 423.18 × 224.07
  4. Step 4: Simplify right side
    306.96x = 94,821.94
  5. Step 5: Solve for x
    x = 94,821.94/306.96
  6. Step 6: Final answer
    x = 308.91

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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.