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Finding the Fourth Proportional to 288.10, 397.22 and 209.36

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Solution

The fourth proportional to 288.10, 397.22 and 209.36 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 397.22 = 209.36 : x
  2. Step 2: Convert to fraction form
    288.10/397.22 = 209.36/x
  3. Step 3: Cross multiply
    288.10x = 397.22 × 209.36
  4. Step 4: Simplify right side
    288.10x = 83,158.95
  5. Step 5: Solve for x
    x = 83,158.95/288.10
  6. Step 6: Final answer
    x = 288.64

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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.