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Finding the Fourth Proportional to 190.53, 263.19 and 147.42

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Solution

The fourth proportional to 190.53, 263.19 and 147.42 is: 203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.53 : 263.19 = 147.42 : x
  2. Step 2: Convert to fraction form
    190.53/263.19 = 147.42/x
  3. Step 3: Cross multiply
    190.53x = 263.19 × 147.42
  4. Step 4: Simplify right side
    190.53x = 38,799.47
  5. Step 5: Solve for x
    x = 38,799.47/190.53
  6. Step 6: Final answer
    x = 203.64

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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.