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Finding the Fourth Proportional to 190.15, 283.92 and 153.70

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Solution

The fourth proportional to 190.15, 283.92 and 153.70 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.15 : 283.92 = 153.70 : x
  2. Step 2: Convert to fraction form
    190.15/283.92 = 153.70/x
  3. Step 3: Cross multiply
    190.15x = 283.92 × 153.70
  4. Step 4: Simplify right side
    190.15x = 43,638.08
  5. Step 5: Solve for x
    x = 43,638.08/190.15
  6. Step 6: Final answer
    x = 229.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.