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Finding the Fourth Proportional to 244.16, 336.72 and 209.20

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Solution

The fourth proportional to 244.16, 336.72 and 209.20 is: 288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.16 : 336.72 = 209.20 : x
  2. Step 2: Convert to fraction form
    244.16/336.72 = 209.20/x
  3. Step 3: Cross multiply
    244.16x = 336.72 × 209.20
  4. Step 4: Simplify right side
    244.16x = 70,441.82
  5. Step 5: Solve for x
    x = 70,441.82/244.16
  6. Step 6: Final answer
    x = 288.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.