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Finding the Fourth Proportional to 131.53, 198.32 and 120.77

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Solution

The fourth proportional to 131.53, 198.32 and 120.77 is: 182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.53 : 198.32 = 120.77 : x
  2. Step 2: Convert to fraction form
    131.53/198.32 = 120.77/x
  3. Step 3: Cross multiply
    131.53x = 198.32 × 120.77
  4. Step 4: Simplify right side
    131.53x = 23,950.42
  5. Step 5: Solve for x
    x = 23,950.42/131.53
  6. Step 6: Final answer
    x = 182.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.