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Finding the Fourth Proportional to 160.48, 221.43 and 137.13

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Solution

The fourth proportional to 160.48, 221.43 and 137.13 is: 189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.48 : 221.43 = 137.13 : x
  2. Step 2: Convert to fraction form
    160.48/221.43 = 137.13/x
  3. Step 3: Cross multiply
    160.48x = 221.43 × 137.13
  4. Step 4: Simplify right side
    160.48x = 30,364.70
  5. Step 5: Solve for x
    x = 30,364.70/160.48
  6. Step 6: Final answer
    x = 189.21

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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.