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Finding the Fourth Proportional to 244.32, 364.80 and 216.96

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Solution

The fourth proportional to 244.32, 364.80 and 216.96 is: 323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.32 : 364.80 = 216.96 : x
  2. Step 2: Convert to fraction form
    244.32/364.80 = 216.96/x
  3. Step 3: Cross multiply
    244.32x = 364.80 × 216.96
  4. Step 4: Simplify right side
    244.32x = 79,147.01
  5. Step 5: Solve for x
    x = 79,147.01/244.32
  6. Step 6: Final answer
    x = 323.95

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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.