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Finding the Fourth Proportional to 399.53, 551.19 and 321.05

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Solution

The fourth proportional to 399.53, 551.19 and 321.05 is: 442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.53 : 551.19 = 321.05 : x
  2. Step 2: Convert to fraction form
    399.53/551.19 = 321.05/x
  3. Step 3: Cross multiply
    399.53x = 551.19 × 321.05
  4. Step 4: Simplify right side
    399.53x = 176,959.55
  5. Step 5: Solve for x
    x = 176,959.55/399.53
  6. Step 6: Final answer
    x = 442.92

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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.