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Finding the Fourth Proportional to 456.93, 685.25 and 240.39

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Solution

The fourth proportional to 456.93, 685.25 and 240.39 is: 360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.93 : 685.25 = 240.39 : x
  2. Step 2: Convert to fraction form
    456.93/685.25 = 240.39/x
  3. Step 3: Cross multiply
    456.93x = 685.25 × 240.39
  4. Step 4: Simplify right side
    456.93x = 164,727.25
  5. Step 5: Solve for x
    x = 164,727.25/456.93
  6. Step 6: Final answer
    x = 360.51

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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.