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Finding the Fourth Proportional to 400.32, 551.34 and 301.50

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Solution

The fourth proportional to 400.32, 551.34 and 301.50 is: 415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.32 : 551.34 = 301.50 : x
  2. Step 2: Convert to fraction form
    400.32/551.34 = 301.50/x
  3. Step 3: Cross multiply
    400.32x = 551.34 × 301.50
  4. Step 4: Simplify right side
    400.32x = 166,229.01
  5. Step 5: Solve for x
    x = 166,229.01/400.32
  6. Step 6: Final answer
    x = 415.24

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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.