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Finding the Fourth Proportional to 144.10, 214.30 and 142.59

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Solution

The fourth proportional to 144.10, 214.30 and 142.59 is: 212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.10 : 214.30 = 142.59 : x
  2. Step 2: Convert to fraction form
    144.10/214.30 = 142.59/x
  3. Step 3: Cross multiply
    144.10x = 214.30 × 142.59
  4. Step 4: Simplify right side
    144.10x = 30,556.31
  5. Step 5: Solve for x
    x = 30,556.31/144.10
  6. Step 6: Final answer
    x = 212.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.