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Finding the Fourth Proportional to 278.48, 381.28 and 275.84

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Solution

The fourth proportional to 278.48, 381.28 and 275.84 is: 377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.48 : 381.28 = 275.84 : x
  2. Step 2: Convert to fraction form
    278.48/381.28 = 275.84/x
  3. Step 3: Cross multiply
    278.48x = 381.28 × 275.84
  4. Step 4: Simplify right side
    278.48x = 105,172.28
  5. Step 5: Solve for x
    x = 105,172.28/278.48
  6. Step 6: Final answer
    x = 377.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.