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Finding the Fourth Proportional to 190.21, 284.90 and 87.34

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Solution

The fourth proportional to 190.21, 284.90 and 87.34 is: 130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.21 : 284.90 = 87.34 : x
  2. Step 2: Convert to fraction form
    190.21/284.90 = 87.34/x
  3. Step 3: Cross multiply
    190.21x = 284.90 × 87.34
  4. Step 4: Simplify right side
    190.21x = 24,882.02
  5. Step 5: Solve for x
    x = 24,882.02/190.21
  6. Step 6: Final answer
    x = 130.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.