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Finding the Fourth Proportional to 285.76, 393.90 and 211.96

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Solution

The fourth proportional to 285.76, 393.90 and 211.96 is: 292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.76 : 393.90 = 211.96 : x
  2. Step 2: Convert to fraction form
    285.76/393.90 = 211.96/x
  3. Step 3: Cross multiply
    285.76x = 393.90 × 211.96
  4. Step 4: Simplify right side
    285.76x = 83,491.04
  5. Step 5: Solve for x
    x = 83,491.04/285.76
  6. Step 6: Final answer
    x = 292.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.