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Finding the Fourth Proportional to 433.96, 650.90 and 159.91

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Solution

The fourth proportional to 433.96, 650.90 and 159.91 is: 239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.96 : 650.90 = 159.91 : x
  2. Step 2: Convert to fraction form
    433.96/650.90 = 159.91/x
  3. Step 3: Cross multiply
    433.96x = 650.90 × 159.91
  4. Step 4: Simplify right side
    433.96x = 104,084.19
  5. Step 5: Solve for x
    x = 104,084.19/433.96
  6. Step 6: Final answer
    x = 239.85

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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.