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Finding the Fourth Proportional to 423.32, 634.93 and 115.20

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Solution

The fourth proportional to 423.32, 634.93 and 115.20 is: 172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.32 : 634.93 = 115.20 : x
  2. Step 2: Convert to fraction form
    423.32/634.93 = 115.20/x
  3. Step 3: Cross multiply
    423.32x = 634.93 × 115.20
  4. Step 4: Simplify right side
    423.32x = 73,143.65
  5. Step 5: Solve for x
    x = 73,143.65/423.32
  6. Step 6: Final answer
    x = 172.79

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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.