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Finding the Fourth Proportional to 145.82, 219.52 and 133.27

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Solution

The fourth proportional to 145.82, 219.52 and 133.27 is: 200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.82 : 219.52 = 133.27 : x
  2. Step 2: Convert to fraction form
    145.82/219.52 = 133.27/x
  3. Step 3: Cross multiply
    145.82x = 219.52 × 133.27
  4. Step 4: Simplify right side
    145.82x = 29,255.43
  5. Step 5: Solve for x
    x = 29,255.43/145.82
  6. Step 6: Final answer
    x = 200.63

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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.