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Finding the Fourth Proportional to 562.50, 843.78 and 177.78

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Solution

The fourth proportional to 562.50, 843.78 and 177.78 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.50 : 843.78 = 177.78 : x
  2. Step 2: Convert to fraction form
    562.50/843.78 = 177.78/x
  3. Step 3: Cross multiply
    562.50x = 843.78 × 177.78
  4. Step 4: Simplify right side
    562.50x = 150,007.21
  5. Step 5: Solve for x
    x = 150,007.21/562.50
  6. Step 6: Final answer
    x = 266.68

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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.