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Finding the Fourth Proportional to 157.11, 216.68 and 120.20

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Solution

The fourth proportional to 157.11, 216.68 and 120.20 is: 165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.11 : 216.68 = 120.20 : x
  2. Step 2: Convert to fraction form
    157.11/216.68 = 120.20/x
  3. Step 3: Cross multiply
    157.11x = 216.68 × 120.20
  4. Step 4: Simplify right side
    157.11x = 26,044.94
  5. Step 5: Solve for x
    x = 26,044.94/157.11
  6. Step 6: Final answer
    x = 165.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.