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Finding the Fourth Proportional to 562.52, 843.78 and 197.33

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Solution

The fourth proportional to 562.52, 843.78 and 197.33 is: 296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.52 : 843.78 = 197.33 : x
  2. Step 2: Convert to fraction form
    562.52/843.78 = 197.33/x
  3. Step 3: Cross multiply
    562.52x = 843.78 × 197.33
  4. Step 4: Simplify right side
    562.52x = 166,503.11
  5. Step 5: Solve for x
    x = 166,503.11/562.52
  6. Step 6: Final answer
    x = 296.00

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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.