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Finding the Fourth Proportional to 289.19, 433.42 and 185.03

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Solution

The fourth proportional to 289.19, 433.42 and 185.03 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.19 : 433.42 = 185.03 : x
  2. Step 2: Convert to fraction form
    289.19/433.42 = 185.03/x
  3. Step 3: Cross multiply
    289.19x = 433.42 × 185.03
  4. Step 4: Simplify right side
    289.19x = 80,197.92
  5. Step 5: Solve for x
    x = 80,197.92/289.19
  6. Step 6: Final answer
    x = 277.32

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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.