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Finding the Fourth Proportional to 394.10, 544.23 and 263.18

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Solution

The fourth proportional to 394.10, 544.23 and 263.18 is: 363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.10 : 544.23 = 263.18 : x
  2. Step 2: Convert to fraction form
    394.10/544.23 = 263.18/x
  3. Step 3: Cross multiply
    394.10x = 544.23 × 263.18
  4. Step 4: Simplify right side
    394.10x = 143,230.45
  5. Step 5: Solve for x
    x = 143,230.45/394.10
  6. Step 6: Final answer
    x = 363.44

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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.