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Finding the Fourth Proportional to 211.33, 314.35 and 209.17

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Solution

The fourth proportional to 211.33, 314.35 and 209.17 is: 311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.33 : 314.35 = 209.17 : x
  2. Step 2: Convert to fraction form
    211.33/314.35 = 209.17/x
  3. Step 3: Cross multiply
    211.33x = 314.35 × 209.17
  4. Step 4: Simplify right side
    211.33x = 65,752.59
  5. Step 5: Solve for x
    x = 65,752.59/211.33
  6. Step 6: Final answer
    x = 311.14

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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.