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Finding the Fourth Proportional to 399.70, 551.64 and 301.42

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Solution

The fourth proportional to 399.70, 551.64 and 301.42 is: 416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.70 : 551.64 = 301.42 : x
  2. Step 2: Convert to fraction form
    399.70/551.64 = 301.42/x
  3. Step 3: Cross multiply
    399.70x = 551.64 × 301.42
  4. Step 4: Simplify right side
    399.70x = 166,275.33
  5. Step 5: Solve for x
    x = 166,275.33/399.70
  6. Step 6: Final answer
    x = 416.00

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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.