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Finding the Fourth Proportional to 399.35, 551.12 and 233.61

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Solution

The fourth proportional to 399.35, 551.12 and 233.61 is: 322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.35 : 551.12 = 233.61 : x
  2. Step 2: Convert to fraction form
    399.35/551.12 = 233.61/x
  3. Step 3: Cross multiply
    399.35x = 551.12 × 233.61
  4. Step 4: Simplify right side
    399.35x = 128,745.98
  5. Step 5: Solve for x
    x = 128,745.98/399.35
  6. Step 6: Final answer
    x = 322.39

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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.