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Finding the Fourth Proportional to 275.04, 409.80 and 261.12

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Solution

The fourth proportional to 275.04, 409.80 and 261.12 is: 389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.04 : 409.80 = 261.12 : x
  2. Step 2: Convert to fraction form
    275.04/409.80 = 261.12/x
  3. Step 3: Cross multiply
    275.04x = 409.80 × 261.12
  4. Step 4: Simplify right side
    275.04x = 107,006.98
  5. Step 5: Solve for x
    x = 107,006.98/275.04
  6. Step 6: Final answer
    x = 389.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.