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Finding the Fourth Proportional to 289.53, 433.42 and 186.89

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Solution

The fourth proportional to 289.53, 433.42 and 186.89 is: 279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.53 : 433.42 = 186.89 : x
  2. Step 2: Convert to fraction form
    289.53/433.42 = 186.89/x
  3. Step 3: Cross multiply
    289.53x = 433.42 × 186.89
  4. Step 4: Simplify right side
    289.53x = 80,998.76
  5. Step 5: Solve for x
    x = 80,998.76/289.53
  6. Step 6: Final answer
    x = 279.76

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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.