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Finding the Fourth Proportional to 409.53, 564.96 and 262.11

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Solution

The fourth proportional to 409.53, 564.96 and 262.11 is: 361.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.53 : 564.96 = 262.11 : x
  2. Step 2: Convert to fraction form
    409.53/564.96 = 262.11/x
  3. Step 3: Cross multiply
    409.53x = 564.96 × 262.11
  4. Step 4: Simplify right side
    409.53x = 148,081.67
  5. Step 5: Solve for x
    x = 148,081.67/409.53
  6. Step 6: Final answer
    x = 361.59

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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.