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Finding the Fourth Proportional to 394.08, 543.47 and 263.22

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Solution

The fourth proportional to 394.08, 543.47 and 263.22 is: 363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.08 : 543.47 = 263.22 : x
  2. Step 2: Convert to fraction form
    394.08/543.47 = 263.22/x
  3. Step 3: Cross multiply
    394.08x = 543.47 × 263.22
  4. Step 4: Simplify right side
    394.08x = 143,049.46
  5. Step 5: Solve for x
    x = 143,049.46/394.08
  6. Step 6: Final answer
    x = 363.00

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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.