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Finding the Fourth Proportional to 131.72, 181.40 and 120.18

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Solution

The fourth proportional to 131.72, 181.40 and 120.18 is: 165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.72 : 181.40 = 120.18 : x
  2. Step 2: Convert to fraction form
    131.72/181.40 = 120.18/x
  3. Step 3: Cross multiply
    131.72x = 181.40 × 120.18
  4. Step 4: Simplify right side
    131.72x = 21,800.65
  5. Step 5: Solve for x
    x = 21,800.65/131.72
  6. Step 6: Final answer
    x = 165.51

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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.