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Finding the Fourth Proportional to 456.74, 685.24 and 193.32

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Solution

The fourth proportional to 456.74, 685.24 and 193.32 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.74 : 685.24 = 193.32 : x
  2. Step 2: Convert to fraction form
    456.74/685.24 = 193.32/x
  3. Step 3: Cross multiply
    456.74x = 685.24 × 193.32
  4. Step 4: Simplify right side
    456.74x = 132,470.11
  5. Step 5: Solve for x
    x = 132,470.11/456.74
  6. Step 6: Final answer
    x = 290.04

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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.