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Finding the Fourth Proportional to 464.71, 641.42 and 278.14

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Solution

The fourth proportional to 464.71, 641.42 and 278.14 is: 383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.71 : 641.42 = 278.14 : x
  2. Step 2: Convert to fraction form
    464.71/641.42 = 278.14/x
  3. Step 3: Cross multiply
    464.71x = 641.42 × 278.14
  4. Step 4: Simplify right side
    464.71x = 178,404.56
  5. Step 5: Solve for x
    x = 178,404.56/464.71
  6. Step 6: Final answer
    x = 383.91

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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.