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Finding the Fourth Proportional to 409.42, 565.89 and 299.68

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Solution

The fourth proportional to 409.42, 565.89 and 299.68 is: 414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.42 : 565.89 = 299.68 : x
  2. Step 2: Convert to fraction form
    409.42/565.89 = 299.68/x
  3. Step 3: Cross multiply
    409.42x = 565.89 × 299.68
  4. Step 4: Simplify right side
    409.42x = 169,585.92
  5. Step 5: Solve for x
    x = 169,585.92/409.42
  6. Step 6: Final answer
    x = 414.21

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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.