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Finding the Fourth Proportional to 399.47, 551.43 and 252.14

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Solution

The fourth proportional to 399.47, 551.43 and 252.14 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.47 : 551.43 = 252.14 : x
  2. Step 2: Convert to fraction form
    399.47/551.43 = 252.14/x
  3. Step 3: Cross multiply
    399.47x = 551.43 × 252.14
  4. Step 4: Simplify right side
    399.47x = 139,034.80
  5. Step 5: Solve for x
    x = 139,034.80/399.47
  6. Step 6: Final answer
    x = 348.05

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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.