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Finding the Fourth Proportional to 312.38, 468.13 and 243.59

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Solution

The fourth proportional to 312.38, 468.13 and 243.59 is: 365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.38 : 468.13 = 243.59 : x
  2. Step 2: Convert to fraction form
    312.38/468.13 = 243.59/x
  3. Step 3: Cross multiply
    312.38x = 468.13 × 243.59
  4. Step 4: Simplify right side
    312.38x = 114,031.79
  5. Step 5: Solve for x
    x = 114,031.79/312.38
  6. Step 6: Final answer
    x = 365.04

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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.