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Finding the Fourth Proportional to 142.82, 215.52 and 137.99

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Solution

The fourth proportional to 142.82, 215.52 and 137.99 is: 208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 215.52 = 137.99 : x
  2. Step 2: Convert to fraction form
    142.82/215.52 = 137.99/x
  3. Step 3: Cross multiply
    142.82x = 215.52 × 137.99
  4. Step 4: Simplify right side
    142.82x = 29,739.60
  5. Step 5: Solve for x
    x = 29,739.60/142.82
  6. Step 6: Final answer
    x = 208.23

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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.