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Finding the Fourth Proportional to 289.09, 432.69 and 186.11

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Solution

The fourth proportional to 289.09, 432.69 and 186.11 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.09 : 432.69 = 186.11 : x
  2. Step 2: Convert to fraction form
    289.09/432.69 = 186.11/x
  3. Step 3: Cross multiply
    289.09x = 432.69 × 186.11
  4. Step 4: Simplify right side
    289.09x = 80,527.94
  5. Step 5: Solve for x
    x = 80,527.94/289.09
  6. Step 6: Final answer
    x = 278.56

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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.