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Finding the Fourth Proportional to 144.50, 215.10 and 143.82

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Solution

The fourth proportional to 144.50, 215.10 and 143.82 is: 214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.50 : 215.10 = 143.82 : x
  2. Step 2: Convert to fraction form
    144.50/215.10 = 143.82/x
  3. Step 3: Cross multiply
    144.50x = 215.10 × 143.82
  4. Step 4: Simplify right side
    144.50x = 30,935.68
  5. Step 5: Solve for x
    x = 30,935.68/144.50
  6. Step 6: Final answer
    x = 214.09

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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.