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Finding the Fourth Proportional to 244.40, 364.90 and 214.16

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Solution

The fourth proportional to 244.40, 364.90 and 214.16 is: 319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.40 : 364.90 = 214.16 : x
  2. Step 2: Convert to fraction form
    244.40/364.90 = 214.16/x
  3. Step 3: Cross multiply
    244.40x = 364.90 × 214.16
  4. Step 4: Simplify right side
    244.40x = 78,146.98
  5. Step 5: Solve for x
    x = 78,146.98/244.40
  6. Step 6: Final answer
    x = 319.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.