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Finding the Fourth Proportional to 188.32, 283.47 and 160.48

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Solution

The fourth proportional to 188.32, 283.47 and 160.48 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.32 : 283.47 = 160.48 : x
  2. Step 2: Convert to fraction form
    188.32/283.47 = 160.48/x
  3. Step 3: Cross multiply
    188.32x = 283.47 × 160.48
  4. Step 4: Simplify right side
    188.32x = 45,491.27
  5. Step 5: Solve for x
    x = 45,491.27/188.32
  6. Step 6: Final answer
    x = 241.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.