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Finding the Fourth Proportional to 278.57, 419.79 and 238.52

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Solution

The fourth proportional to 278.57, 419.79 and 238.52 is: 359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.57 : 419.79 = 238.52 : x
  2. Step 2: Convert to fraction form
    278.57/419.79 = 238.52/x
  3. Step 3: Cross multiply
    278.57x = 419.79 × 238.52
  4. Step 4: Simplify right side
    278.57x = 100,126.21
  5. Step 5: Solve for x
    x = 100,126.21/278.57
  6. Step 6: Final answer
    x = 359.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.