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Finding the Fourth Proportional to 399.70, 551.59 and 252.53

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Solution

The fourth proportional to 399.70, 551.59 and 252.53 is: 348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.70 : 551.59 = 252.53 : x
  2. Step 2: Convert to fraction form
    399.70/551.59 = 252.53/x
  3. Step 3: Cross multiply
    399.70x = 551.59 × 252.53
  4. Step 4: Simplify right side
    399.70x = 139,293.02
  5. Step 5: Solve for x
    x = 139,293.02/399.70
  6. Step 6: Final answer
    x = 348.49

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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.