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Finding the Fourth Proportional to 423.54, 634.84 and 192.08

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Solution

The fourth proportional to 423.54, 634.84 and 192.08 is: 287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.54 : 634.84 = 192.08 : x
  2. Step 2: Convert to fraction form
    423.54/634.84 = 192.08/x
  3. Step 3: Cross multiply
    423.54x = 634.84 × 192.08
  4. Step 4: Simplify right side
    423.54x = 121,941.17
  5. Step 5: Solve for x
    x = 121,941.17/423.54
  6. Step 6: Final answer
    x = 287.91

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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.