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Finding the Fourth Proportional to 278.68, 419.10 and 262.40

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Solution

The fourth proportional to 278.68, 419.10 and 262.40 is: 394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.68 : 419.10 = 262.40 : x
  2. Step 2: Convert to fraction form
    278.68/419.10 = 262.40/x
  3. Step 3: Cross multiply
    278.68x = 419.10 × 262.40
  4. Step 4: Simplify right side
    278.68x = 109,971.84
  5. Step 5: Solve for x
    x = 109,971.84/278.68
  6. Step 6: Final answer
    x = 394.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.