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Finding the Fourth Proportional to 464.90, 641.51 and 278.38

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Solution

The fourth proportional to 464.90, 641.51 and 278.38 is: 384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.90 : 641.51 = 278.38 : x
  2. Step 2: Convert to fraction form
    464.90/641.51 = 278.38/x
  3. Step 3: Cross multiply
    464.90x = 641.51 × 278.38
  4. Step 4: Simplify right side
    464.90x = 178,584.79
  5. Step 5: Solve for x
    x = 178,584.79/464.90
  6. Step 6: Final answer
    x = 384.14

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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.