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Finding the Fourth Proportional to 158.90, 218.03 and 143.24

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Solution

The fourth proportional to 158.90, 218.03 and 143.24 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.90 : 218.03 = 143.24 : x
  2. Step 2: Convert to fraction form
    158.90/218.03 = 143.24/x
  3. Step 3: Cross multiply
    158.90x = 218.03 × 143.24
  4. Step 4: Simplify right side
    158.90x = 31,228.81
  5. Step 5: Solve for x
    x = 31,228.81/158.90
  6. Step 6: Final answer
    x = 196.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.