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Finding the Fourth Proportional to 312.72, 468.73 and 129.99

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Solution

The fourth proportional to 312.72, 468.73 and 129.99 is: 194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.72 : 468.73 = 129.99 : x
  2. Step 2: Convert to fraction form
    312.72/468.73 = 129.99/x
  3. Step 3: Cross multiply
    312.72x = 468.73 × 129.99
  4. Step 4: Simplify right side
    312.72x = 60,930.21
  5. Step 5: Solve for x
    x = 60,930.21/312.72
  6. Step 6: Final answer
    x = 194.84

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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.