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Finding the Fourth Proportional to 157.12, 216.91 and 120.35

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Solution

The fourth proportional to 157.12, 216.91 and 120.35 is: 166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.12 : 216.91 = 120.35 : x
  2. Step 2: Convert to fraction form
    157.12/216.91 = 120.35/x
  3. Step 3: Cross multiply
    157.12x = 216.91 × 120.35
  4. Step 4: Simplify right side
    157.12x = 26,103.73
  5. Step 5: Solve for x
    x = 26,103.73/157.12
  6. Step 6: Final answer
    x = 166.14

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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.