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Finding the Fourth Proportional to 288.56, 432.52 and 166.72

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Solution

The fourth proportional to 288.56, 432.52 and 166.72 is: 249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 432.52 = 166.72 : x
  2. Step 2: Convert to fraction form
    288.56/432.52 = 166.72/x
  3. Step 3: Cross multiply
    288.56x = 432.52 × 166.72
  4. Step 4: Simplify right side
    288.56x = 72,109.73
  5. Step 5: Solve for x
    x = 72,109.73/288.56
  6. Step 6: Final answer
    x = 249.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.