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Finding the Fourth Proportional to 456.78, 684.45 and 240.78

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Solution

The fourth proportional to 456.78, 684.45 and 240.78 is: 360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.78 : 684.45 = 240.78 : x
  2. Step 2: Convert to fraction form
    456.78/684.45 = 240.78/x
  3. Step 3: Cross multiply
    456.78x = 684.45 × 240.78
  4. Step 4: Simplify right side
    456.78x = 164,801.87
  5. Step 5: Solve for x
    x = 164,801.87/456.78
  6. Step 6: Final answer
    x = 360.79

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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.