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Finding the Fourth Proportional to 409.65, 565.41 and 298.81

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Solution

The fourth proportional to 409.65, 565.41 and 298.81 is: 412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.65 : 565.41 = 298.81 : x
  2. Step 2: Convert to fraction form
    409.65/565.41 = 298.81/x
  3. Step 3: Cross multiply
    409.65x = 565.41 × 298.81
  4. Step 4: Simplify right side
    409.65x = 168,950.16
  5. Step 5: Solve for x
    x = 168,950.16/409.65
  6. Step 6: Final answer
    x = 412.43

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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.