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Finding the Fourth Proportional to 314.85, 472.97 and 224.13

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Solution

The fourth proportional to 314.85, 472.97 and 224.13 is: 336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.85 : 472.97 = 224.13 : x
  2. Step 2: Convert to fraction form
    314.85/472.97 = 224.13/x
  3. Step 3: Cross multiply
    314.85x = 472.97 × 224.13
  4. Step 4: Simplify right side
    314.85x = 106,005.65
  5. Step 5: Solve for x
    x = 106,005.65/314.85
  6. Step 6: Final answer
    x = 336.69

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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.