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Finding the Fourth Proportional to 157.69, 217.34 and 120.77

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Solution

The fourth proportional to 157.69, 217.34 and 120.77 is: 166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.69 : 217.34 = 120.77 : x
  2. Step 2: Convert to fraction form
    157.69/217.34 = 120.77/x
  3. Step 3: Cross multiply
    157.69x = 217.34 × 120.77
  4. Step 4: Simplify right side
    157.69x = 26,248.15
  5. Step 5: Solve for x
    x = 26,248.15/157.69
  6. Step 6: Final answer
    x = 166.45

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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.