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Finding the Fourth Proportional to 189.68, 284.36 and 128.88

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Solution

The fourth proportional to 189.68, 284.36 and 128.88 is: 193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.68 : 284.36 = 128.88 : x
  2. Step 2: Convert to fraction form
    189.68/284.36 = 128.88/x
  3. Step 3: Cross multiply
    189.68x = 284.36 × 128.88
  4. Step 4: Simplify right side
    189.68x = 36,648.32
  5. Step 5: Solve for x
    x = 36,648.32/189.68
  6. Step 6: Final answer
    x = 193.21

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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.