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Finding the Fourth Proportional to 501.26, 752.22 and 296.26

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Solution

The fourth proportional to 501.26, 752.22 and 296.26 is: 444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.26 : 752.22 = 296.26 : x
  2. Step 2: Convert to fraction form
    501.26/752.22 = 296.26/x
  3. Step 3: Cross multiply
    501.26x = 752.22 × 296.26
  4. Step 4: Simplify right side
    501.26x = 222,850.82
  5. Step 5: Solve for x
    x = 222,850.82/501.26
  6. Step 6: Final answer
    x = 444.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.