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Finding the Fourth Proportional to 188.88, 283.32 and 74.88

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Solution

The fourth proportional to 188.88, 283.32 and 74.88 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.88 : 283.32 = 74.88 : x
  2. Step 2: Convert to fraction form
    188.88/283.32 = 74.88/x
  3. Step 3: Cross multiply
    188.88x = 283.32 × 74.88
  4. Step 4: Simplify right side
    188.88x = 21,215.00
  5. Step 5: Solve for x
    x = 21,215.00/188.88
  6. Step 6: Final answer
    x = 112.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.