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Finding the Fourth Proportional to 342.23, 472.52 and 308.97

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Solution

The fourth proportional to 342.23, 472.52 and 308.97 is: 426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.23 : 472.52 = 308.97 : x
  2. Step 2: Convert to fraction form
    342.23/472.52 = 308.97/x
  3. Step 3: Cross multiply
    342.23x = 472.52 × 308.97
  4. Step 4: Simplify right side
    342.23x = 145,995.28
  5. Step 5: Solve for x
    x = 145,995.28/342.23
  6. Step 6: Final answer
    x = 426.60

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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.