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Finding the Fourth Proportional to 188.24, 283.66 and 168.60

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Solution

The fourth proportional to 188.24, 283.66 and 168.60 is: 254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.24 : 283.66 = 168.60 : x
  2. Step 2: Convert to fraction form
    188.24/283.66 = 168.60/x
  3. Step 3: Cross multiply
    188.24x = 283.66 × 168.60
  4. Step 4: Simplify right side
    188.24x = 47,825.08
  5. Step 5: Solve for x
    x = 47,825.08/188.24
  6. Step 6: Final answer
    x = 254.06

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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.