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Finding the Fourth Proportional to 342.96, 472.88 and 326.24

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Solution

The fourth proportional to 342.96, 472.88 and 326.24 is: 449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.96 : 472.88 = 326.24 : x
  2. Step 2: Convert to fraction form
    342.96/472.88 = 326.24/x
  3. Step 3: Cross multiply
    342.96x = 472.88 × 326.24
  4. Step 4: Simplify right side
    342.96x = 154,272.37
  5. Step 5: Solve for x
    x = 154,272.37/342.96
  6. Step 6: Final answer
    x = 449.83

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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.