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Finding the Fourth Proportional to 199.50, 275.37 and 160.29

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Solution

The fourth proportional to 199.50, 275.37 and 160.29 is: 221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 275.37 = 160.29 : x
  2. Step 2: Convert to fraction form
    199.50/275.37 = 160.29/x
  3. Step 3: Cross multiply
    199.50x = 275.37 × 160.29
  4. Step 4: Simplify right side
    199.50x = 44,139.06
  5. Step 5: Solve for x
    x = 44,139.06/199.50
  6. Step 6: Final answer
    x = 221.25

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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.