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Finding the Fourth Proportional to 409.06, 564.58 and 261.75

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Solution

The fourth proportional to 409.06, 564.58 and 261.75 is: 361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.06 : 564.58 = 261.75 : x
  2. Step 2: Convert to fraction form
    409.06/564.58 = 261.75/x
  3. Step 3: Cross multiply
    409.06x = 564.58 × 261.75
  4. Step 4: Simplify right side
    409.06x = 147,778.82
  5. Step 5: Solve for x
    x = 147,778.82/409.06
  6. Step 6: Final answer
    x = 361.26

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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.