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Finding the Fourth Proportional to 312.81, 468.85 and 129.99

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Solution

The fourth proportional to 312.81, 468.85 and 129.99 is: 194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.81 : 468.85 = 129.99 : x
  2. Step 2: Convert to fraction form
    312.81/468.85 = 129.99/x
  3. Step 3: Cross multiply
    312.81x = 468.85 × 129.99
  4. Step 4: Simplify right side
    312.81x = 60,945.81
  5. Step 5: Solve for x
    x = 60,945.81/312.81
  6. Step 6: Final answer
    x = 194.83

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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.