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Finding the Fourth Proportional to 190.74, 261.56 and 183.86

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Solution

The fourth proportional to 190.74, 261.56 and 183.86 is: 252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.74 : 261.56 = 183.86 : x
  2. Step 2: Convert to fraction form
    190.74/261.56 = 183.86/x
  3. Step 3: Cross multiply
    190.74x = 261.56 × 183.86
  4. Step 4: Simplify right side
    190.74x = 48,088.19
  5. Step 5: Solve for x
    x = 48,088.19/190.74
  6. Step 6: Final answer
    x = 252.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.