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Finding the Fourth Proportional to 158.21, 218.32 and 88.28

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Solution

The fourth proportional to 158.21, 218.32 and 88.28 is: 121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.21 : 218.32 = 88.28 : x
  2. Step 2: Convert to fraction form
    158.21/218.32 = 88.28/x
  3. Step 3: Cross multiply
    158.21x = 218.32 × 88.28
  4. Step 4: Simplify right side
    158.21x = 19,272.30
  5. Step 5: Solve for x
    x = 19,272.30/158.21
  6. Step 6: Final answer
    x = 121.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.