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Finding the Fourth Proportional to 288.23, 397.91 and 199.83

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Solution

The fourth proportional to 288.23, 397.91 and 199.83 is: 275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.23 : 397.91 = 199.83 : x
  2. Step 2: Convert to fraction form
    288.23/397.91 = 199.83/x
  3. Step 3: Cross multiply
    288.23x = 397.91 × 199.83
  4. Step 4: Simplify right side
    288.23x = 79,516.35
  5. Step 5: Solve for x
    x = 79,516.35/288.23
  6. Step 6: Final answer
    x = 275.88

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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.