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Finding the Fourth Proportional to 394.24, 543.17 and 263.02

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Solution

The fourth proportional to 394.24, 543.17 and 263.02 is: 362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.24 : 543.17 = 263.02 : x
  2. Step 2: Convert to fraction form
    394.24/543.17 = 263.02/x
  3. Step 3: Cross multiply
    394.24x = 543.17 × 263.02
  4. Step 4: Simplify right side
    394.24x = 142,864.57
  5. Step 5: Solve for x
    x = 142,864.57/394.24
  6. Step 6: Final answer
    x = 362.38

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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.