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Finding the Fourth Proportional to 145.89, 219.63 and 133.14

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Solution

The fourth proportional to 145.89, 219.63 and 133.14 is: 200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.89 : 219.63 = 133.14 : x
  2. Step 2: Convert to fraction form
    145.89/219.63 = 133.14/x
  3. Step 3: Cross multiply
    145.89x = 219.63 × 133.14
  4. Step 4: Simplify right side
    145.89x = 29,241.54
  5. Step 5: Solve for x
    x = 29,241.54/145.89
  6. Step 6: Final answer
    x = 200.44

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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.