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Finding the Fourth Proportional to 526.25, 726.23 and 293.38

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Solution

The fourth proportional to 526.25, 726.23 and 293.38 is: 404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.25 : 726.23 = 293.38 : x
  2. Step 2: Convert to fraction form
    526.25/726.23 = 293.38/x
  3. Step 3: Cross multiply
    526.25x = 726.23 × 293.38
  4. Step 4: Simplify right side
    526.25x = 213,061.36
  5. Step 5: Solve for x
    x = 213,061.36/526.25
  6. Step 6: Final answer
    x = 404.87

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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.