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Finding the Fourth Proportional to 409.43, 564.60 and 298.11

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Solution

The fourth proportional to 409.43, 564.60 and 298.11 is: 411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.43 : 564.60 = 298.11 : x
  2. Step 2: Convert to fraction form
    409.43/564.60 = 298.11/x
  3. Step 3: Cross multiply
    409.43x = 564.60 × 298.11
  4. Step 4: Simplify right side
    409.43x = 168,312.91
  5. Step 5: Solve for x
    x = 168,312.91/409.43
  6. Step 6: Final answer
    x = 411.10

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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.