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Finding the Fourth Proportional to 409.85, 565.49 and 244.13

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Solution

The fourth proportional to 409.85, 565.49 and 244.13 is: 336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.85 : 565.49 = 244.13 : x
  2. Step 2: Convert to fraction form
    409.85/565.49 = 244.13/x
  3. Step 3: Cross multiply
    409.85x = 565.49 × 244.13
  4. Step 4: Simplify right side
    409.85x = 138,050.86
  5. Step 5: Solve for x
    x = 138,050.86/409.85
  6. Step 6: Final answer
    x = 336.84

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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.