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Finding the Fourth Proportional to 278.11, 383.79 and 152.08

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Solution

The fourth proportional to 278.11, 383.79 and 152.08 is: 209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.11 : 383.79 = 152.08 : x
  2. Step 2: Convert to fraction form
    278.11/383.79 = 152.08/x
  3. Step 3: Cross multiply
    278.11x = 383.79 × 152.08
  4. Step 4: Simplify right side
    278.11x = 58,365.54
  5. Step 5: Solve for x
    x = 58,365.54/278.11
  6. Step 6: Final answer
    x = 209.87

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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.