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Finding the Fourth Proportional to 190.65, 263.21 and 131.72

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Solution

The fourth proportional to 190.65, 263.21 and 131.72 is: 181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.65 : 263.21 = 131.72 : x
  2. Step 2: Convert to fraction form
    190.65/263.21 = 131.72/x
  3. Step 3: Cross multiply
    190.65x = 263.21 × 131.72
  4. Step 4: Simplify right side
    190.65x = 34,670.02
  5. Step 5: Solve for x
    x = 34,670.02/190.65
  6. Step 6: Final answer
    x = 181.85

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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.