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Finding the Fourth Proportional to 425.29, 638.66 and 277.30

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Solution

The fourth proportional to 425.29, 638.66 and 277.30 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.29 : 638.66 = 277.30 : x
  2. Step 2: Convert to fraction form
    425.29/638.66 = 277.30/x
  3. Step 3: Cross multiply
    425.29x = 638.66 × 277.30
  4. Step 4: Simplify right side
    425.29x = 177,100.42
  5. Step 5: Solve for x
    x = 177,100.42/425.29
  6. Step 6: Final answer
    x = 416.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.