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Finding the Fourth Proportional to 158.21, 218.29 and 96.07

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Solution

The fourth proportional to 158.21, 218.29 and 96.07 is: 132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.21 : 218.29 = 96.07 : x
  2. Step 2: Convert to fraction form
    158.21/218.29 = 96.07/x
  3. Step 3: Cross multiply
    158.21x = 218.29 × 96.07
  4. Step 4: Simplify right side
    158.21x = 20,971.12
  5. Step 5: Solve for x
    x = 20,971.12/158.21
  6. Step 6: Final answer
    x = 132.55

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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.