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Finding the Fourth Proportional to 189.19, 283.72 and 67.42

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Solution

The fourth proportional to 189.19, 283.72 and 67.42 is: 101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.19 : 283.72 = 67.42 : x
  2. Step 2: Convert to fraction form
    189.19/283.72 = 67.42/x
  3. Step 3: Cross multiply
    189.19x = 283.72 × 67.42
  4. Step 4: Simplify right side
    189.19x = 19,127.12
  5. Step 5: Solve for x
    x = 19,127.12/189.19
  6. Step 6: Final answer
    x = 101.10

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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.