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Finding the Fourth Proportional to 409.83, 565.47 and 299.34

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Solution

The fourth proportional to 409.83, 565.47 and 299.34 is: 413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.83 : 565.47 = 299.34 : x
  2. Step 2: Convert to fraction form
    409.83/565.47 = 299.34/x
  3. Step 3: Cross multiply
    409.83x = 565.47 × 299.34
  4. Step 4: Simplify right side
    409.83x = 169,267.79
  5. Step 5: Solve for x
    x = 169,267.79/409.83
  6. Step 6: Final answer
    x = 413.02

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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.