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Finding the Fourth Proportional to 275.32, 409.73 and 266.32

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Solution

The fourth proportional to 275.32, 409.73 and 266.32 is: 396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.32 : 409.73 = 266.32 : x
  2. Step 2: Convert to fraction form
    275.32/409.73 = 266.32/x
  3. Step 3: Cross multiply
    275.32x = 409.73 × 266.32
  4. Step 4: Simplify right side
    275.32x = 109,119.29
  5. Step 5: Solve for x
    x = 109,119.29/275.32
  6. Step 6: Final answer
    x = 396.34

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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.