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Finding the Fourth Proportional to 314.06, 470.83 and 149.44

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Solution

The fourth proportional to 314.06, 470.83 and 149.44 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.06 : 470.83 = 149.44 : x
  2. Step 2: Convert to fraction form
    314.06/470.83 = 149.44/x
  3. Step 3: Cross multiply
    314.06x = 470.83 × 149.44
  4. Step 4: Simplify right side
    314.06x = 70,362.39
  5. Step 5: Solve for x
    x = 70,362.39/314.06
  6. Step 6: Final answer
    x = 224.04

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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.