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Finding the Fourth Proportional to 312.68, 469.05 and 107.26

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Solution

The fourth proportional to 312.68, 469.05 and 107.26 is: 160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.68 : 469.05 = 107.26 : x
  2. Step 2: Convert to fraction form
    312.68/469.05 = 107.26/x
  3. Step 3: Cross multiply
    312.68x = 469.05 × 107.26
  4. Step 4: Simplify right side
    312.68x = 50,309.77
  5. Step 5: Solve for x
    x = 50,309.77/312.68
  6. Step 6: Final answer
    x = 160.90

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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.