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Finding the Fourth Proportional to 160.64, 220.21 and 158.21

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Solution

The fourth proportional to 160.64, 220.21 and 158.21 is: 216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.64 : 220.21 = 158.21 : x
  2. Step 2: Convert to fraction form
    160.64/220.21 = 158.21/x
  3. Step 3: Cross multiply
    160.64x = 220.21 × 158.21
  4. Step 4: Simplify right side
    160.64x = 34,839.42
  5. Step 5: Solve for x
    x = 34,839.42/160.64
  6. Step 6: Final answer
    x = 216.88

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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.