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Finding the Fourth Proportional to 190.02, 261.72 and 181.20

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Solution

The fourth proportional to 190.02, 261.72 and 181.20 is: 249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.02 : 261.72 = 181.20 : x
  2. Step 2: Convert to fraction form
    190.02/261.72 = 181.20/x
  3. Step 3: Cross multiply
    190.02x = 261.72 × 181.20
  4. Step 4: Simplify right side
    190.02x = 47,423.66
  5. Step 5: Solve for x
    x = 47,423.66/190.02
  6. Step 6: Final answer
    x = 249.57

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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.