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Finding the Fourth Proportional to 532.26, 798.36 and 142.25

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Solution

The fourth proportional to 532.26, 798.36 and 142.25 is: 213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.26 : 798.36 = 142.25 : x
  2. Step 2: Convert to fraction form
    532.26/798.36 = 142.25/x
  3. Step 3: Cross multiply
    532.26x = 798.36 × 142.25
  4. Step 4: Simplify right side
    532.26x = 113,562.18
  5. Step 5: Solve for x
    x = 113,562.18/532.26
  6. Step 6: Final answer
    x = 213.36

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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.