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Finding the Fourth Proportional to 464.78, 641.20 and 278.21

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Solution

The fourth proportional to 464.78, 641.20 and 278.21 is: 383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.78 : 641.20 = 278.21 : x
  2. Step 2: Convert to fraction form
    464.78/641.20 = 278.21/x
  3. Step 3: Cross multiply
    464.78x = 641.20 × 278.21
  4. Step 4: Simplify right side
    464.78x = 178,388.25
  5. Step 5: Solve for x
    x = 178,388.25/464.78
  6. Step 6: Final answer
    x = 383.81

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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.