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Finding the Fourth Proportional to 465.28, 641.89 and 278.71

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Solution

The fourth proportional to 465.28, 641.89 and 278.71 is: 384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.28 : 641.89 = 278.71 : x
  2. Step 2: Convert to fraction form
    465.28/641.89 = 278.71/x
  3. Step 3: Cross multiply
    465.28x = 641.89 × 278.71
  4. Step 4: Simplify right side
    465.28x = 178,899.77
  5. Step 5: Solve for x
    x = 178,899.77/465.28
  6. Step 6: Final answer
    x = 384.50

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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.