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Finding the Fourth Proportional to 289.42, 433.71 and 186.46

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Solution

The fourth proportional to 289.42, 433.71 and 186.46 is: 279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.42 : 433.71 = 186.46 : x
  2. Step 2: Convert to fraction form
    289.42/433.71 = 186.46/x
  3. Step 3: Cross multiply
    289.42x = 433.71 × 186.46
  4. Step 4: Simplify right side
    289.42x = 80,869.57
  5. Step 5: Solve for x
    x = 80,869.57/289.42
  6. Step 6: Final answer
    x = 279.42

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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.