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Finding the Fourth Proportional to 160.86, 222.85 and 157.08

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Solution

The fourth proportional to 160.86, 222.85 and 157.08 is: 217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.86 : 222.85 = 157.08 : x
  2. Step 2: Convert to fraction form
    160.86/222.85 = 157.08/x
  3. Step 3: Cross multiply
    160.86x = 222.85 × 157.08
  4. Step 4: Simplify right side
    160.86x = 35,005.28
  5. Step 5: Solve for x
    x = 35,005.28/160.86
  6. Step 6: Final answer
    x = 217.61

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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.