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Finding the Fourth Proportional to 409.60, 565.08 and 262.20

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Solution

The fourth proportional to 409.60, 565.08 and 262.20 is: 361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 565.08 = 262.20 : x
  2. Step 2: Convert to fraction form
    409.60/565.08 = 262.20/x
  3. Step 3: Cross multiply
    409.60x = 565.08 × 262.20
  4. Step 4: Simplify right side
    409.60x = 148,163.98
  5. Step 5: Solve for x
    x = 148,163.98/409.60
  6. Step 6: Final answer
    x = 361.73

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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.