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Finding the Fourth Proportional to 342.43, 474.66 and 323.93

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Solution

The fourth proportional to 342.43, 474.66 and 323.93 is: 449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.43 : 474.66 = 323.93 : x
  2. Step 2: Convert to fraction form
    342.43/474.66 = 323.93/x
  3. Step 3: Cross multiply
    342.43x = 474.66 × 323.93
  4. Step 4: Simplify right side
    342.43x = 153,757.80
  5. Step 5: Solve for x
    x = 153,757.80/342.43
  6. Step 6: Final answer
    x = 449.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.