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Finding the Fourth Proportional to 288.29, 432.87 and 180.76

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Solution

The fourth proportional to 288.29, 432.87 and 180.76 is: 271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.29 : 432.87 = 180.76 : x
  2. Step 2: Convert to fraction form
    288.29/432.87 = 180.76/x
  3. Step 3: Cross multiply
    288.29x = 432.87 × 180.76
  4. Step 4: Simplify right side
    288.29x = 78,245.58
  5. Step 5: Solve for x
    x = 78,245.58/288.29
  6. Step 6: Final answer
    x = 271.41

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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.