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Finding the Fourth Proportional to 525.15, 725.03 and 338.97

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Solution

The fourth proportional to 525.15, 725.03 and 338.97 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.15 : 725.03 = 338.97 : x
  2. Step 2: Convert to fraction form
    525.15/725.03 = 338.97/x
  3. Step 3: Cross multiply
    525.15x = 725.03 × 338.97
  4. Step 4: Simplify right side
    525.15x = 245,764.27
  5. Step 5: Solve for x
    x = 245,764.27/525.15
  6. Step 6: Final answer
    x = 467.99

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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.