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Finding the Fourth Proportional to 409.85, 565.65 and 299.28

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Solution

The fourth proportional to 409.85, 565.65 and 299.28 is: 413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.85 : 565.65 = 299.28 : x
  2. Step 2: Convert to fraction form
    409.85/565.65 = 299.28/x
  3. Step 3: Cross multiply
    409.85x = 565.65 × 299.28
  4. Step 4: Simplify right side
    409.85x = 169,287.73
  5. Step 5: Solve for x
    x = 169,287.73/409.85
  6. Step 6: Final answer
    x = 413.05

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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.