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Finding the Fourth Proportional to 189.47, 283.75 and 128.42

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Solution

The fourth proportional to 189.47, 283.75 and 128.42 is: 192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.47 : 283.75 = 128.42 : x
  2. Step 2: Convert to fraction form
    189.47/283.75 = 128.42/x
  3. Step 3: Cross multiply
    189.47x = 283.75 × 128.42
  4. Step 4: Simplify right side
    189.47x = 36,439.18
  5. Step 5: Solve for x
    x = 36,439.18/189.47
  6. Step 6: Final answer
    x = 192.32

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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.