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Finding the Fourth Proportional to 190.36, 286.54 and 147.25

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Solution

The fourth proportional to 190.36, 286.54 and 147.25 is: 221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.36 : 286.54 = 147.25 : x
  2. Step 2: Convert to fraction form
    190.36/286.54 = 147.25/x
  3. Step 3: Cross multiply
    190.36x = 286.54 × 147.25
  4. Step 4: Simplify right side
    190.36x = 42,193.02
  5. Step 5: Solve for x
    x = 42,193.02/190.36
  6. Step 6: Final answer
    x = 221.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.