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Finding the Fourth Proportional to 244.30, 364.67 and 215.14

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Solution

The fourth proportional to 244.30, 364.67 and 215.14 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.30 : 364.67 = 215.14 : x
  2. Step 2: Convert to fraction form
    244.30/364.67 = 215.14/x
  3. Step 3: Cross multiply
    244.30x = 364.67 × 215.14
  4. Step 4: Simplify right side
    244.30x = 78,455.10
  5. Step 5: Solve for x
    x = 78,455.10/244.30
  6. Step 6: Final answer
    x = 321.14

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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.