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Finding the Fourth Proportional to 278.08, 383.94 and 180.12

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Solution

The fourth proportional to 278.08, 383.94 and 180.12 is: 248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 383.94 = 180.12 : x
  2. Step 2: Convert to fraction form
    278.08/383.94 = 180.12/x
  3. Step 3: Cross multiply
    278.08x = 383.94 × 180.12
  4. Step 4: Simplify right side
    278.08x = 69,156.71
  5. Step 5: Solve for x
    x = 69,156.71/278.08
  6. Step 6: Final answer
    x = 248.69

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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.