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Finding the Fourth Proportional to 288.47, 397.96 and 209.59

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Solution

The fourth proportional to 288.47, 397.96 and 209.59 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.47 : 397.96 = 209.59 : x
  2. Step 2: Convert to fraction form
    288.47/397.96 = 209.59/x
  3. Step 3: Cross multiply
    288.47x = 397.96 × 209.59
  4. Step 4: Simplify right side
    288.47x = 83,406.92
  5. Step 5: Solve for x
    x = 83,406.92/288.47
  6. Step 6: Final answer
    x = 289.13

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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.