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Finding the Fourth Proportional to 145.38, 218.28 and 141.94

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Solution

The fourth proportional to 145.38, 218.28 and 141.94 is: 213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.38 : 218.28 = 141.94 : x
  2. Step 2: Convert to fraction form
    145.38/218.28 = 141.94/x
  3. Step 3: Cross multiply
    145.38x = 218.28 × 141.94
  4. Step 4: Simplify right side
    145.38x = 30,982.66
  5. Step 5: Solve for x
    x = 30,982.66/145.38
  6. Step 6: Final answer
    x = 213.12

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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.