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Finding the Fourth Proportional to 144.66, 214.28 and 143.04

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Solution

The fourth proportional to 144.66, 214.28 and 143.04 is: 211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.66 : 214.28 = 143.04 : x
  2. Step 2: Convert to fraction form
    144.66/214.28 = 143.04/x
  3. Step 3: Cross multiply
    144.66x = 214.28 × 143.04
  4. Step 4: Simplify right side
    144.66x = 30,650.61
  5. Step 5: Solve for x
    x = 30,650.61/144.66
  6. Step 6: Final answer
    x = 211.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.