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Finding the Fourth Proportional to 278.57, 383.22 and 270.87

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Solution

The fourth proportional to 278.57, 383.22 and 270.87 is: 372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.57 : 383.22 = 270.87 : x
  2. Step 2: Convert to fraction form
    278.57/383.22 = 270.87/x
  3. Step 3: Cross multiply
    278.57x = 383.22 × 270.87
  4. Step 4: Simplify right side
    278.57x = 103,802.80
  5. Step 5: Solve for x
    x = 103,802.80/278.57
  6. Step 6: Final answer
    x = 372.63

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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.