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Finding the Fourth Proportional to 312.45, 468.64 and 107.02

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Solution

The fourth proportional to 312.45, 468.64 and 107.02 is: 160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.45 : 468.64 = 107.02 : x
  2. Step 2: Convert to fraction form
    312.45/468.64 = 107.02/x
  3. Step 3: Cross multiply
    312.45x = 468.64 × 107.02
  4. Step 4: Simplify right side
    312.45x = 50,153.85
  5. Step 5: Solve for x
    x = 50,153.85/312.45
  6. Step 6: Final answer
    x = 160.52

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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.