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Finding the Fourth Proportional to 211.29, 314.97 and 207.65

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Solution

The fourth proportional to 211.29, 314.97 and 207.65 is: 309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.29 : 314.97 = 207.65 : x
  2. Step 2: Convert to fraction form
    211.29/314.97 = 207.65/x
  3. Step 3: Cross multiply
    211.29x = 314.97 × 207.65
  4. Step 4: Simplify right side
    211.29x = 65,401.95
  5. Step 5: Solve for x
    x = 65,401.95/211.29
  6. Step 6: Final answer
    x = 309.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.