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Finding the Fourth Proportional to 456.57, 685.12 and 193.00

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Solution

The fourth proportional to 456.57, 685.12 and 193.00 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 685.12 = 193.00 : x
  2. Step 2: Convert to fraction form
    456.57/685.12 = 193.00/x
  3. Step 3: Cross multiply
    456.57x = 685.12 × 193.00
  4. Step 4: Simplify right side
    456.57x = 132,229.00
  5. Step 5: Solve for x
    x = 132,229.00/456.57
  6. Step 6: Final answer
    x = 289.61

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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.