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Finding the Fourth Proportional to 513.12, 708.24 and 338.40

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Solution

The fourth proportional to 513.12, 708.24 and 338.40 is: 467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.12 : 708.24 = 338.40 : x
  2. Step 2: Convert to fraction form
    513.12/708.24 = 338.40/x
  3. Step 3: Cross multiply
    513.12x = 708.24 × 338.40
  4. Step 4: Simplify right side
    513.12x = 239,668.42
  5. Step 5: Solve for x
    x = 239,668.42/513.12
  6. Step 6: Final answer
    x = 467.08

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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.