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Finding the Fourth Proportional to 421.78, 582.14 and 244.86

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Solution

The fourth proportional to 421.78, 582.14 and 244.86 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.78 : 582.14 = 244.86 : x
  2. Step 2: Convert to fraction form
    421.78/582.14 = 244.86/x
  3. Step 3: Cross multiply
    421.78x = 582.14 × 244.86
  4. Step 4: Simplify right side
    421.78x = 142,542.80
  5. Step 5: Solve for x
    x = 142,542.80/421.78
  6. Step 6: Final answer
    x = 337.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.