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Finding the Fourth Proportional to 268.85, 404.69 and 243.74

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Solution

The fourth proportional to 268.85, 404.69 and 243.74 is: 366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.85 : 404.69 = 243.74 : x
  2. Step 2: Convert to fraction form
    268.85/404.69 = 243.74/x
  3. Step 3: Cross multiply
    268.85x = 404.69 × 243.74
  4. Step 4: Simplify right side
    268.85x = 98,638.93
  5. Step 5: Solve for x
    x = 98,638.93/268.85
  6. Step 6: Final answer
    x = 366.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.