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Finding the Fourth Proportional to 244.41, 366.98 and 214.17

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Solution

The fourth proportional to 244.41, 366.98 and 214.17 is: 321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.41 : 366.98 = 214.17 : x
  2. Step 2: Convert to fraction form
    244.41/366.98 = 214.17/x
  3. Step 3: Cross multiply
    244.41x = 366.98 × 214.17
  4. Step 4: Simplify right side
    244.41x = 78,595.04
  5. Step 5: Solve for x
    x = 78,595.04/244.41
  6. Step 6: Final answer
    x = 321.57

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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.