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Finding the Fourth Proportional to 309, 462.80 and 178.69

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Solution

The fourth proportional to 309, 462.80 and 178.69 is: 267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 462.80 = 178.69 : x
  2. Step 2: Convert to fraction form
    309/462.80 = 178.69/x
  3. Step 3: Cross multiply
    309x = 462.80 × 178.69
  4. Step 4: Simplify right side
    309x = 82,697.73
  5. Step 5: Solve for x
    x = 82,697.73/309
  6. Step 6: Final answer
    x = 267.63

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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.