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Finding the Fourth Proportional to 143.68, 213.77 and 143.32

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Solution

The fourth proportional to 143.68, 213.77 and 143.32 is: 213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.68 : 213.77 = 143.32 : x
  2. Step 2: Convert to fraction form
    143.68/213.77 = 143.32/x
  3. Step 3: Cross multiply
    143.68x = 213.77 × 143.32
  4. Step 4: Simplify right side
    143.68x = 30,637.52
  5. Step 5: Solve for x
    x = 30,637.52/143.68
  6. Step 6: Final answer
    x = 213.23

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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.