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Finding the Fourth Proportional to 190.34, 285.40 and 147

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Solution

The fourth proportional to 190.34, 285.40 and 147 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.34 : 285.40 = 147 : x
  2. Step 2: Convert to fraction form
    190.34/285.40 = 147/x
  3. Step 3: Cross multiply
    190.34x = 285.40 × 147
  4. Step 4: Simplify right side
    190.34x = 41,953.80
  5. Step 5: Solve for x
    x = 41,953.80/190.34
  6. Step 6: Final answer
    x = 220.42

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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.