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Finding the Fourth Proportional to 423.29, 635.13 and 192.35

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Solution

The fourth proportional to 423.29, 635.13 and 192.35 is: 288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.29 : 635.13 = 192.35 : x
  2. Step 2: Convert to fraction form
    423.29/635.13 = 192.35/x
  3. Step 3: Cross multiply
    423.29x = 635.13 × 192.35
  4. Step 4: Simplify right side
    423.29x = 122,164.08
  5. Step 5: Solve for x
    x = 122,164.08/423.29
  6. Step 6: Final answer
    x = 288.61

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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.