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Finding the Fourth Proportional to 211.50, 314.73 and 211.14

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Solution

The fourth proportional to 211.50, 314.73 and 211.14 is: 314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.50 : 314.73 = 211.14 : x
  2. Step 2: Convert to fraction form
    211.50/314.73 = 211.14/x
  3. Step 3: Cross multiply
    211.50x = 314.73 × 211.14
  4. Step 4: Simplify right side
    211.50x = 66,452.09
  5. Step 5: Solve for x
    x = 66,452.09/211.50
  6. Step 6: Final answer
    x = 314.19

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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.