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Finding the Fourth Proportional to 464.72, 641.37 and 278.21

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Solution

The fourth proportional to 464.72, 641.37 and 278.21 is: 383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 641.37 = 278.21 : x
  2. Step 2: Convert to fraction form
    464.72/641.37 = 278.21/x
  3. Step 3: Cross multiply
    464.72x = 641.37 × 278.21
  4. Step 4: Simplify right side
    464.72x = 178,430.95
  5. Step 5: Solve for x
    x = 178,430.95/464.72
  6. Step 6: Final answer
    x = 383.96

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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.