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Finding the Fourth Proportional to 289.11, 432.67 and 179.38

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Solution

The fourth proportional to 289.11, 432.67 and 179.38 is: 268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.11 : 432.67 = 179.38 : x
  2. Step 2: Convert to fraction form
    289.11/432.67 = 179.38/x
  3. Step 3: Cross multiply
    289.11x = 432.67 × 179.38
  4. Step 4: Simplify right side
    289.11x = 77,609.28
  5. Step 5: Solve for x
    x = 77,609.28/289.11
  6. Step 6: Final answer
    x = 268.45

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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.