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Finding the Fourth Proportional to 409.80, 565.47 and 244.05

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Solution

The fourth proportional to 409.80, 565.47 and 244.05 is: 336.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.80 : 565.47 = 244.05 : x
  2. Step 2: Convert to fraction form
    409.80/565.47 = 244.05/x
  3. Step 3: Cross multiply
    409.80x = 565.47 × 244.05
  4. Step 4: Simplify right side
    409.80x = 138,002.95
  5. Step 5: Solve for x
    x = 138,002.95/409.80
  6. Step 6: Final answer
    x = 336.76

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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.