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Finding the Fourth Proportional to 288.67, 433.10 and 180.49

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Solution

The fourth proportional to 288.67, 433.10 and 180.49 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.67 : 433.10 = 180.49 : x
  2. Step 2: Convert to fraction form
    288.67/433.10 = 180.49/x
  3. Step 3: Cross multiply
    288.67x = 433.10 × 180.49
  4. Step 4: Simplify right side
    288.67x = 78,170.22
  5. Step 5: Solve for x
    x = 78,170.22/288.67
  6. Step 6: Final answer
    x = 270.79

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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.