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Finding the Fourth Proportional to 188.42, 260.02 and 160.78

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Solution

The fourth proportional to 188.42, 260.02 and 160.78 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.42 : 260.02 = 160.78 : x
  2. Step 2: Convert to fraction form
    188.42/260.02 = 160.78/x
  3. Step 3: Cross multiply
    188.42x = 260.02 × 160.78
  4. Step 4: Simplify right side
    188.42x = 41,806.02
  5. Step 5: Solve for x
    x = 41,806.02/188.42
  6. Step 6: Final answer
    x = 221.88

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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.