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Finding the Fourth Proportional to 526.20, 726.13 and 290.13

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Solution

The fourth proportional to 526.20, 726.13 and 290.13 is: 400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.20 : 726.13 = 290.13 : x
  2. Step 2: Convert to fraction form
    526.20/726.13 = 290.13/x
  3. Step 3: Cross multiply
    526.20x = 726.13 × 290.13
  4. Step 4: Simplify right side
    526.20x = 210,672.10
  5. Step 5: Solve for x
    x = 210,672.10/526.20
  6. Step 6: Final answer
    x = 400.37

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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.