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Finding the Fourth Proportional to 409.91, 565.10 and 299.39

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Solution

The fourth proportional to 409.91, 565.10 and 299.39 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.91 : 565.10 = 299.39 : x
  2. Step 2: Convert to fraction form
    409.91/565.10 = 299.39/x
  3. Step 3: Cross multiply
    409.91x = 565.10 × 299.39
  4. Step 4: Simplify right side
    409.91x = 169,182.46
  5. Step 5: Solve for x
    x = 169,182.46/409.91
  6. Step 6: Final answer
    x = 412.74

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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.