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Finding the Fourth Proportional to 160.16, 221 and 94.66

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Solution

The fourth proportional to 160.16, 221 and 94.66 is: 130.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 221 = 94.66 : x
  2. Step 2: Convert to fraction form
    160.16/221 = 94.66/x
  3. Step 3: Cross multiply
    160.16x = 221 × 94.66
  4. Step 4: Simplify right side
    160.16x = 20,918.76
  5. Step 5: Solve for x
    x = 20,918.76/160.16
  6. Step 6: Final answer
    x = 130.62

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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.