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Finding the Fourth Proportional to 211.13, 318.38 and 208.25

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Solution

The fourth proportional to 211.13, 318.38 and 208.25 is: 314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.13 : 318.38 = 208.25 : x
  2. Step 2: Convert to fraction form
    211.13/318.38 = 208.25/x
  3. Step 3: Cross multiply
    211.13x = 318.38 × 208.25
  4. Step 4: Simplify right side
    211.13x = 66,301.56
  5. Step 5: Solve for x
    x = 66,301.56/211.13
  6. Step 6: Final answer
    x = 314.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.