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Finding the Fourth Proportional to 423.09, 634.68 and 192.06

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Solution

The fourth proportional to 423.09, 634.68 and 192.06 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.09 : 634.68 = 192.06 : x
  2. Step 2: Convert to fraction form
    423.09/634.68 = 192.06/x
  3. Step 3: Cross multiply
    423.09x = 634.68 × 192.06
  4. Step 4: Simplify right side
    423.09x = 121,896.64
  5. Step 5: Solve for x
    x = 121,896.64/423.09
  6. Step 6: Final answer
    x = 288.11

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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.