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Finding the Fourth Proportional to 366.23, 548.61 and 212.06

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Solution

The fourth proportional to 366.23, 548.61 and 212.06 is: 317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.23 : 548.61 = 212.06 : x
  2. Step 2: Convert to fraction form
    366.23/548.61 = 212.06/x
  3. Step 3: Cross multiply
    366.23x = 548.61 × 212.06
  4. Step 4: Simplify right side
    366.23x = 116,335.49
  5. Step 5: Solve for x
    x = 116,335.49/366.23
  6. Step 6: Final answer
    x = 317.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.