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Finding the Fourth Proportional to 452.68, 679.15 and 192.54

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Solution

The fourth proportional to 452.68, 679.15 and 192.54 is: 288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.68 : 679.15 = 192.54 : x
  2. Step 2: Convert to fraction form
    452.68/679.15 = 192.54/x
  3. Step 3: Cross multiply
    452.68x = 679.15 × 192.54
  4. Step 4: Simplify right side
    452.68x = 130,763.54
  5. Step 5: Solve for x
    x = 130,763.54/452.68
  6. Step 6: Final answer
    x = 288.87

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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.