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Finding the Fourth Proportional to 278.42, 383.96 and 234.68

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Solution

The fourth proportional to 278.42, 383.96 and 234.68 is: 323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.42 : 383.96 = 234.68 : x
  2. Step 2: Convert to fraction form
    278.42/383.96 = 234.68/x
  3. Step 3: Cross multiply
    278.42x = 383.96 × 234.68
  4. Step 4: Simplify right side
    278.42x = 90,105.81
  5. Step 5: Solve for x
    x = 90,105.81/278.42
  6. Step 6: Final answer
    x = 323.64

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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.