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Finding the Fourth Proportional to 472.33, 707.95 and 212.05

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Solution

The fourth proportional to 472.33, 707.95 and 212.05 is: 317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.33 : 707.95 = 212.05 : x
  2. Step 2: Convert to fraction form
    472.33/707.95 = 212.05/x
  3. Step 3: Cross multiply
    472.33x = 707.95 × 212.05
  4. Step 4: Simplify right side
    472.33x = 150,120.80
  5. Step 5: Solve for x
    x = 150,120.80/472.33
  6. Step 6: Final answer
    x = 317.83

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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.