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Finding the Fourth Proportional to 160.40, 221.43 and 116.84

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Solution

The fourth proportional to 160.40, 221.43 and 116.84 is: 161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.40 : 221.43 = 116.84 : x
  2. Step 2: Convert to fraction form
    160.40/221.43 = 116.84/x
  3. Step 3: Cross multiply
    160.40x = 221.43 × 116.84
  4. Step 4: Simplify right side
    160.40x = 25,870.77
  5. Step 5: Solve for x
    x = 25,870.77/160.40
  6. Step 6: Final answer
    x = 161.29

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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.