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Finding the Fourth Proportional to 289.50, 433.86 and 198.78

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Solution

The fourth proportional to 289.50, 433.86 and 198.78 is: 297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 433.86 = 198.78 : x
  2. Step 2: Convert to fraction form
    289.50/433.86 = 198.78/x
  3. Step 3: Cross multiply
    289.50x = 433.86 × 198.78
  4. Step 4: Simplify right side
    289.50x = 86,242.69
  5. Step 5: Solve for x
    x = 86,242.69/289.50
  6. Step 6: Final answer
    x = 297.90

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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.