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Finding the Fourth Proportional to 158.15, 218.26 and 88.23

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Solution

The fourth proportional to 158.15, 218.26 and 88.23 is: 121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.15 : 218.26 = 88.23 : x
  2. Step 2: Convert to fraction form
    158.15/218.26 = 88.23/x
  3. Step 3: Cross multiply
    158.15x = 218.26 × 88.23
  4. Step 4: Simplify right side
    158.15x = 19,255.99
  5. Step 5: Solve for x
    x = 19,255.99/158.15
  6. Step 6: Final answer
    x = 121.76

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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.