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Finding the Fourth Proportional to 402.75, 556.06 and 261.22

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Solution

The fourth proportional to 402.75, 556.06 and 261.22 is: 360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 556.06 = 261.22 : x
  2. Step 2: Convert to fraction form
    402.75/556.06 = 261.22/x
  3. Step 3: Cross multiply
    402.75x = 556.06 × 261.22
  4. Step 4: Simplify right side
    402.75x = 145,253.99
  5. Step 5: Solve for x
    x = 145,253.99/402.75
  6. Step 6: Final answer
    x = 360.66

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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.