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Finding the Fourth Proportional to 278.73, 384.64 and 180.59

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Solution

The fourth proportional to 278.73, 384.64 and 180.59 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.73 : 384.64 = 180.59 : x
  2. Step 2: Convert to fraction form
    278.73/384.64 = 180.59/x
  3. Step 3: Cross multiply
    278.73x = 384.64 × 180.59
  4. Step 4: Simplify right side
    278.73x = 69,459.76
  5. Step 5: Solve for x
    x = 69,459.76/278.73
  6. Step 6: Final answer
    x = 249.20

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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.