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Finding the Fourth Proportional to 306.68, 423.36 and 241.04

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Solution

The fourth proportional to 306.68, 423.36 and 241.04 is: 332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.68 : 423.36 = 241.04 : x
  2. Step 2: Convert to fraction form
    306.68/423.36 = 241.04/x
  3. Step 3: Cross multiply
    306.68x = 423.36 × 241.04
  4. Step 4: Simplify right side
    306.68x = 102,046.69
  5. Step 5: Solve for x
    x = 102,046.69/306.68
  6. Step 6: Final answer
    x = 332.75

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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.