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Finding the Fourth Proportional to 409.47, 565.31 and 262.35

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Solution

The fourth proportional to 409.47, 565.31 and 262.35 is: 362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.47 : 565.31 = 262.35 : x
  2. Step 2: Convert to fraction form
    409.47/565.31 = 262.35/x
  3. Step 3: Cross multiply
    409.47x = 565.31 × 262.35
  4. Step 4: Simplify right side
    409.47x = 148,309.73
  5. Step 5: Solve for x
    x = 148,309.73/409.47
  6. Step 6: Final answer
    x = 362.20

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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.