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Finding the Fourth Proportional to 464.74, 641.28 and 278.14

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Solution

The fourth proportional to 464.74, 641.28 and 278.14 is: 383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.74 : 641.28 = 278.14 : x
  2. Step 2: Convert to fraction form
    464.74/641.28 = 278.14/x
  3. Step 3: Cross multiply
    464.74x = 641.28 × 278.14
  4. Step 4: Simplify right side
    464.74x = 178,366.26
  5. Step 5: Solve for x
    x = 178,366.26/464.74
  6. Step 6: Final answer
    x = 383.80

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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.