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Finding the Fourth Proportional to 199.04, 274.88 and 160

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Solution

The fourth proportional to 199.04, 274.88 and 160 is: 220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.04 : 274.88 = 160 : x
  2. Step 2: Convert to fraction form
    199.04/274.88 = 160/x
  3. Step 3: Cross multiply
    199.04x = 274.88 × 160
  4. Step 4: Simplify right side
    199.04x = 43,980.80
  5. Step 5: Solve for x
    x = 43,980.80/199.04
  6. Step 6: Final answer
    x = 220.96

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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.