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Finding the Fourth Proportional to 145.43, 218.19 and 142.36

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Solution

The fourth proportional to 145.43, 218.19 and 142.36 is: 213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.43 : 218.19 = 142.36 : x
  2. Step 2: Convert to fraction form
    145.43/218.19 = 142.36/x
  3. Step 3: Cross multiply
    145.43x = 218.19 × 142.36
  4. Step 4: Simplify right side
    145.43x = 31,061.52
  5. Step 5: Solve for x
    x = 31,061.52/145.43
  6. Step 6: Final answer
    x = 213.59

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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.