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Finding the Fourth Proportional to 288.02, 397.61 and 169.95

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Solution

The fourth proportional to 288.02, 397.61 and 169.95 is: 234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.02 : 397.61 = 169.95 : x
  2. Step 2: Convert to fraction form
    288.02/397.61 = 169.95/x
  3. Step 3: Cross multiply
    288.02x = 397.61 × 169.95
  4. Step 4: Simplify right side
    288.02x = 67,575.10
  5. Step 5: Solve for x
    x = 67,575.10/288.02
  6. Step 6: Final answer
    x = 234.62

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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.