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Finding the Fourth Proportional to 409.92, 565.76 and 262.51

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Solution

The fourth proportional to 409.92, 565.76 and 262.51 is: 362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 565.76 = 262.51 : x
  2. Step 2: Convert to fraction form
    409.92/565.76 = 262.51/x
  3. Step 3: Cross multiply
    409.92x = 565.76 × 262.51
  4. Step 4: Simplify right side
    409.92x = 148,517.66
  5. Step 5: Solve for x
    x = 148,517.66/409.92
  6. Step 6: Final answer
    x = 362.31

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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.