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Finding the Fourth Proportional to 278.37, 414.39 and 265.10

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Solution

The fourth proportional to 278.37, 414.39 and 265.10 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.37 : 414.39 = 265.10 : x
  2. Step 2: Convert to fraction form
    278.37/414.39 = 265.10/x
  3. Step 3: Cross multiply
    278.37x = 414.39 × 265.10
  4. Step 4: Simplify right side
    278.37x = 109,853.46
  5. Step 5: Solve for x
    x = 109,853.46/278.37
  6. Step 6: Final answer
    x = 394.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.