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Finding the Fourth Proportional to 399.66, 551.72 and 252.37

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Solution

The fourth proportional to 399.66, 551.72 and 252.37 is: 348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.66 : 551.72 = 252.37 : x
  2. Step 2: Convert to fraction form
    399.66/551.72 = 252.37/x
  3. Step 3: Cross multiply
    399.66x = 551.72 × 252.37
  4. Step 4: Simplify right side
    399.66x = 139,237.58
  5. Step 5: Solve for x
    x = 139,237.58/399.66
  6. Step 6: Final answer
    x = 348.39

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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.