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Finding the Fourth Proportional to 556.17, 834.11 and 263.66

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Solution

The fourth proportional to 556.17, 834.11 and 263.66 is: 395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.17 : 834.11 = 263.66 : x
  2. Step 2: Convert to fraction form
    556.17/834.11 = 263.66/x
  3. Step 3: Cross multiply
    556.17x = 834.11 × 263.66
  4. Step 4: Simplify right side
    556.17x = 219,921.44
  5. Step 5: Solve for x
    x = 219,921.44/556.17
  6. Step 6: Final answer
    x = 395.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.