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Finding the Fourth Proportional to 431.89, 647.84 and 157.91

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Solution

The fourth proportional to 431.89, 647.84 and 157.91 is: 236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.89 : 647.84 = 157.91 : x
  2. Step 2: Convert to fraction form
    431.89/647.84 = 157.91/x
  3. Step 3: Cross multiply
    431.89x = 647.84 × 157.91
  4. Step 4: Simplify right side
    431.89x = 102,297.57
  5. Step 5: Solve for x
    x = 102,297.57/431.89
  6. Step 6: Final answer
    x = 236.86

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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.