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Finding the Fourth Proportional to 309, 426.38 and 176.21

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Solution

The fourth proportional to 309, 426.38 and 176.21 is: 243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 426.38 = 176.21 : x
  2. Step 2: Convert to fraction form
    309/426.38 = 176.21/x
  3. Step 3: Cross multiply
    309x = 426.38 × 176.21
  4. Step 4: Simplify right side
    309x = 75,129.41
  5. Step 5: Solve for x
    x = 75,129.41/309
  6. Step 6: Final answer
    x = 243.14

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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.