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Finding the Fourth Proportional to 452.20, 677.76 and 192.12

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Solution

The fourth proportional to 452.20, 677.76 and 192.12 is: 287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.20 : 677.76 = 192.12 : x
  2. Step 2: Convert to fraction form
    452.20/677.76 = 192.12/x
  3. Step 3: Cross multiply
    452.20x = 677.76 × 192.12
  4. Step 4: Simplify right side
    452.20x = 130,207.86
  5. Step 5: Solve for x
    x = 130,207.86/452.20
  6. Step 6: Final answer
    x = 287.95

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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.