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Finding the Fourth Proportional to 312.82, 468.90 and 107.20

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Solution

The fourth proportional to 312.82, 468.90 and 107.20 is: 160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.82 : 468.90 = 107.20 : x
  2. Step 2: Convert to fraction form
    312.82/468.90 = 107.20/x
  3. Step 3: Cross multiply
    312.82x = 468.90 × 107.20
  4. Step 4: Simplify right side
    312.82x = 50,266.08
  5. Step 5: Solve for x
    x = 50,266.08/312.82
  6. Step 6: Final answer
    x = 160.69

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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.