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Finding the Fourth Proportional to 157.77, 217.90 and 120.84

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Solution

The fourth proportional to 157.77, 217.90 and 120.84 is: 166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.77 : 217.90 = 120.84 : x
  2. Step 2: Convert to fraction form
    157.77/217.90 = 120.84/x
  3. Step 3: Cross multiply
    157.77x = 217.90 × 120.84
  4. Step 4: Simplify right side
    157.77x = 26,331.04
  5. Step 5: Solve for x
    x = 26,331.04/157.77
  6. Step 6: Final answer
    x = 166.90

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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.