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Finding the Fourth Proportional to 309.30, 426.91 and 178.38

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Solution

The fourth proportional to 309.30, 426.91 and 178.38 is: 246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.30 : 426.91 = 178.38 : x
  2. Step 2: Convert to fraction form
    309.30/426.91 = 178.38/x
  3. Step 3: Cross multiply
    309.30x = 426.91 × 178.38
  4. Step 4: Simplify right side
    309.30x = 76,152.83
  5. Step 5: Solve for x
    x = 76,152.83/309.30
  6. Step 6: Final answer
    x = 246.21

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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.