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Finding the Fourth Proportional to 423.32, 634.91 and 192.20

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Solution

The fourth proportional to 423.32, 634.91 and 192.20 is: 288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.32 : 634.91 = 192.20 : x
  2. Step 2: Convert to fraction form
    423.32/634.91 = 192.20/x
  3. Step 3: Cross multiply
    423.32x = 634.91 × 192.20
  4. Step 4: Simplify right side
    423.32x = 122,025.57
  5. Step 5: Solve for x
    x = 122,025.57/423.32
  6. Step 6: Final answer
    x = 288.26

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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.