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Finding the Fourth Proportional to 464.96, 641.59 and 278.42

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Solution

The fourth proportional to 464.96, 641.59 and 278.42 is: 384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.96 : 641.59 = 278.42 : x
  2. Step 2: Convert to fraction form
    464.96/641.59 = 278.42/x
  3. Step 3: Cross multiply
    464.96x = 641.59 × 278.42
  4. Step 4: Simplify right side
    464.96x = 178,626.89
  5. Step 5: Solve for x
    x = 178,626.89/464.96
  6. Step 6: Final answer
    x = 384.18

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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.