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Finding the Fourth Proportional to 409.81, 564.25 and 361.86

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Solution

The fourth proportional to 409.81, 564.25 and 361.86 is: 498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.81 : 564.25 = 361.86 : x
  2. Step 2: Convert to fraction form
    409.81/564.25 = 361.86/x
  3. Step 3: Cross multiply
    409.81x = 564.25 × 361.86
  4. Step 4: Simplify right side
    409.81x = 204,179.51
  5. Step 5: Solve for x
    x = 204,179.51/409.81
  6. Step 6: Final answer
    x = 498.23

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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.