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Finding the Fourth Proportional to 562.61, 843.99 and 192.49

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Solution

The fourth proportional to 562.61, 843.99 and 192.49 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.61 : 843.99 = 192.49 : x
  2. Step 2: Convert to fraction form
    562.61/843.99 = 192.49/x
  3. Step 3: Cross multiply
    562.61x = 843.99 × 192.49
  4. Step 4: Simplify right side
    562.61x = 162,454.45
  5. Step 5: Solve for x
    x = 162,454.45/562.61
  6. Step 6: Final answer
    x = 288.75

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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.