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Finding the Fourth Proportional to 425.38, 637.83 and 278.50

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Solution

The fourth proportional to 425.38, 637.83 and 278.50 is: 417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.38 : 637.83 = 278.50 : x
  2. Step 2: Convert to fraction form
    425.38/637.83 = 278.50/x
  3. Step 3: Cross multiply
    425.38x = 637.83 × 278.50
  4. Step 4: Simplify right side
    425.38x = 177,635.66
  5. Step 5: Solve for x
    x = 177,635.66/425.38
  6. Step 6: Final answer
    x = 417.59

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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.