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Finding the Fourth Proportional to 399.60, 551.49 and 301.20

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Solution

The fourth proportional to 399.60, 551.49 and 301.20 is: 415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.60 : 551.49 = 301.20 : x
  2. Step 2: Convert to fraction form
    399.60/551.49 = 301.20/x
  3. Step 3: Cross multiply
    399.60x = 551.49 × 301.20
  4. Step 4: Simplify right side
    399.60x = 166,108.79
  5. Step 5: Solve for x
    x = 166,108.79/399.60
  6. Step 6: Final answer
    x = 415.69

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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.