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Finding the Fourth Proportional to 526.27, 726.34 and 329.80

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Solution

The fourth proportional to 526.27, 726.34 and 329.80 is: 455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.27 : 726.34 = 329.80 : x
  2. Step 2: Convert to fraction form
    526.27/726.34 = 329.80/x
  3. Step 3: Cross multiply
    526.27x = 726.34 × 329.80
  4. Step 4: Simplify right side
    526.27x = 239,546.93
  5. Step 5: Solve for x
    x = 239,546.93/526.27
  6. Step 6: Final answer
    x = 455.18

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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.