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Finding the Fourth Proportional to 144.72, 218.10 and 143.46

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Solution

The fourth proportional to 144.72, 218.10 and 143.46 is: 216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.72 : 218.10 = 143.46 : x
  2. Step 2: Convert to fraction form
    144.72/218.10 = 143.46/x
  3. Step 3: Cross multiply
    144.72x = 218.10 × 143.46
  4. Step 4: Simplify right side
    144.72x = 31,288.63
  5. Step 5: Solve for x
    x = 31,288.63/144.72
  6. Step 6: Final answer
    x = 216.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.