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Finding the Fourth Proportional to 275.08, 410.78 and 261.04

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Solution

The fourth proportional to 275.08, 410.78 and 261.04 is: 389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.08 : 410.78 = 261.04 : x
  2. Step 2: Convert to fraction form
    275.08/410.78 = 261.04/x
  3. Step 3: Cross multiply
    275.08x = 410.78 × 261.04
  4. Step 4: Simplify right side
    275.08x = 107,230.01
  5. Step 5: Solve for x
    x = 107,230.01/275.08
  6. Step 6: Final answer
    x = 389.81

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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.