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Finding the Fourth Proportional to 366.70, 506 and 211.46

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Solution

The fourth proportional to 366.70, 506 and 211.46 is: 291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.70 : 506 = 211.46 : x
  2. Step 2: Convert to fraction form
    366.70/506 = 211.46/x
  3. Step 3: Cross multiply
    366.70x = 506 × 211.46
  4. Step 4: Simplify right side
    366.70x = 106,998.76
  5. Step 5: Solve for x
    x = 106,998.76/366.70
  6. Step 6: Final answer
    x = 291.79

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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.