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Finding the Fourth Proportional to 213.06, 319.12 and 207.89

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Solution

The fourth proportional to 213.06, 319.12 and 207.89 is: 311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.06 : 319.12 = 207.89 : x
  2. Step 2: Convert to fraction form
    213.06/319.12 = 207.89/x
  3. Step 3: Cross multiply
    213.06x = 319.12 × 207.89
  4. Step 4: Simplify right side
    213.06x = 66,341.86
  5. Step 5: Solve for x
    x = 66,341.86/213.06
  6. Step 6: Final answer
    x = 311.38

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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.