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Finding the Fourth Proportional to 160.84, 221.89 and 114.31

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Solution

The fourth proportional to 160.84, 221.89 and 114.31 is: 157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.84 : 221.89 = 114.31 : x
  2. Step 2: Convert to fraction form
    160.84/221.89 = 114.31/x
  3. Step 3: Cross multiply
    160.84x = 221.89 × 114.31
  4. Step 4: Simplify right side
    160.84x = 25,364.45
  5. Step 5: Solve for x
    x = 25,364.45/160.84
  6. Step 6: Final answer
    x = 157.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.