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Finding the Fourth Proportional to 278.28, 419.09 and 242.64

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Solution

The fourth proportional to 278.28, 419.09 and 242.64 is: 365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.28 : 419.09 = 242.64 : x
  2. Step 2: Convert to fraction form
    278.28/419.09 = 242.64/x
  3. Step 3: Cross multiply
    278.28x = 419.09 × 242.64
  4. Step 4: Simplify right side
    278.28x = 101,686.78
  5. Step 5: Solve for x
    x = 101,686.78/278.28
  6. Step 6: Final answer
    x = 365.41

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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.