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Finding the Fourth Proportional to 409.98, 566.04 and 262.74

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Solution

The fourth proportional to 409.98, 566.04 and 262.74 is: 362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.98 : 566.04 = 262.74 : x
  2. Step 2: Convert to fraction form
    409.98/566.04 = 262.74/x
  3. Step 3: Cross multiply
    409.98x = 566.04 × 262.74
  4. Step 4: Simplify right side
    409.98x = 148,721.35
  5. Step 5: Solve for x
    x = 148,721.35/409.98
  6. Step 6: Final answer
    x = 362.75

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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.