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Finding the Fourth Proportional to 211.66, 313.16 and 211.05

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Solution

The fourth proportional to 211.66, 313.16 and 211.05 is: 312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.66 : 313.16 = 211.05 : x
  2. Step 2: Convert to fraction form
    211.66/313.16 = 211.05/x
  3. Step 3: Cross multiply
    211.66x = 313.16 × 211.05
  4. Step 4: Simplify right side
    211.66x = 66,092.95
  5. Step 5: Solve for x
    x = 66,092.95/211.66
  6. Step 6: Final answer
    x = 312.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.