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Finding the Fourth Proportional to 190.20, 284.84 and 117.90

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Solution

The fourth proportional to 190.20, 284.84 and 117.90 is: 176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.20 : 284.84 = 117.90 : x
  2. Step 2: Convert to fraction form
    190.20/284.84 = 117.90/x
  3. Step 3: Cross multiply
    190.20x = 284.84 × 117.90
  4. Step 4: Simplify right side
    190.20x = 33,582.64
  5. Step 5: Solve for x
    x = 33,582.64/190.20
  6. Step 6: Final answer
    x = 176.56

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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.