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Finding the Fourth Proportional to 144.30, 215.10 and 142.68

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Solution

The fourth proportional to 144.30, 215.10 and 142.68 is: 212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.30 : 215.10 = 142.68 : x
  2. Step 2: Convert to fraction form
    144.30/215.10 = 142.68/x
  3. Step 3: Cross multiply
    144.30x = 215.10 × 142.68
  4. Step 4: Simplify right side
    144.30x = 30,690.47
  5. Step 5: Solve for x
    x = 30,690.47/144.30
  6. Step 6: Final answer
    x = 212.69

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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.