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Finding the Fourth Proportional to 211.46, 319.17 and 211.46

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Solution

The fourth proportional to 211.46, 319.17 and 211.46 is: 319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.46 : 319.17 = 211.46 : x
  2. Step 2: Convert to fraction form
    211.46/319.17 = 211.46/x
  3. Step 3: Cross multiply
    211.46x = 319.17 × 211.46
  4. Step 4: Simplify right side
    211.46x = 67,491.69
  5. Step 5: Solve for x
    x = 67,491.69/211.46
  6. Step 6: Final answer
    x = 319.17

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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.