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Finding the Fourth Proportional to 308.75, 462.67 and 243.91

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Solution

The fourth proportional to 308.75, 462.67 and 243.91 is: 365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.75 : 462.67 = 243.91 : x
  2. Step 2: Convert to fraction form
    308.75/462.67 = 243.91/x
  3. Step 3: Cross multiply
    308.75x = 462.67 × 243.91
  4. Step 4: Simplify right side
    308.75x = 112,848.07
  5. Step 5: Solve for x
    x = 112,848.07/308.75
  6. Step 6: Final answer
    x = 365.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.