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Finding the Fourth Proportional to 160, 220.78 and 94.49

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Solution

The fourth proportional to 160, 220.78 and 94.49 is: 130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 220.78 = 94.49 : x
  2. Step 2: Convert to fraction form
    160/220.78 = 94.49/x
  3. Step 3: Cross multiply
    160x = 220.78 × 94.49
  4. Step 4: Simplify right side
    160x = 20,861.50
  5. Step 5: Solve for x
    x = 20,861.50/160
  6. Step 6: Final answer
    x = 130.38

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1.5x scale

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.