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Finding the Fourth Proportional to 394.52, 542.07 and 369.24

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Solution

The fourth proportional to 394.52, 542.07 and 369.24 is: 507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.52 : 542.07 = 369.24 : x
  2. Step 2: Convert to fraction form
    394.52/542.07 = 369.24/x
  3. Step 3: Cross multiply
    394.52x = 542.07 × 369.24
  4. Step 4: Simplify right side
    394.52x = 200,153.93
  5. Step 5: Solve for x
    x = 200,153.93/394.52
  6. Step 6: Final answer
    x = 507.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.