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Finding the Fourth Proportional to 160.56, 223.07 and 158.64

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Solution

The fourth proportional to 160.56, 223.07 and 158.64 is: 220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.56 : 223.07 = 158.64 : x
  2. Step 2: Convert to fraction form
    160.56/223.07 = 158.64/x
  3. Step 3: Cross multiply
    160.56x = 223.07 × 158.64
  4. Step 4: Simplify right side
    160.56x = 35,388.22
  5. Step 5: Solve for x
    x = 35,388.22/160.56
  6. Step 6: Final answer
    x = 220.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.