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Finding the Fourth Proportional to 338.72, 469.30 and 333.48

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Solution

The fourth proportional to 338.72, 469.30 and 333.48 is: 462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.72 : 469.30 = 333.48 : x
  2. Step 2: Convert to fraction form
    338.72/469.30 = 333.48/x
  3. Step 3: Cross multiply
    338.72x = 469.30 × 333.48
  4. Step 4: Simplify right side
    338.72x = 156,502.16
  5. Step 5: Solve for x
    x = 156,502.16/338.72
  6. Step 6: Final answer
    x = 462.04

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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.