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Finding the Fourth Proportional to 314.91, 472.86 and 222.75

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Solution

The fourth proportional to 314.91, 472.86 and 222.75 is: 334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.91 : 472.86 = 222.75 : x
  2. Step 2: Convert to fraction form
    314.91/472.86 = 222.75/x
  3. Step 3: Cross multiply
    314.91x = 472.86 × 222.75
  4. Step 4: Simplify right side
    314.91x = 105,329.57
  5. Step 5: Solve for x
    x = 105,329.57/314.91
  6. Step 6: Final answer
    x = 334.48

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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.