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Finding the Fourth Proportional to 189.99, 285.12 and 68.36

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Solution

The fourth proportional to 189.99, 285.12 and 68.36 is: 102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.99 : 285.12 = 68.36 : x
  2. Step 2: Convert to fraction form
    189.99/285.12 = 68.36/x
  3. Step 3: Cross multiply
    189.99x = 285.12 × 68.36
  4. Step 4: Simplify right side
    189.99x = 19,489.38
  5. Step 5: Solve for x
    x = 19,489.38/189.99
  6. Step 6: Final answer
    x = 102.58

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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.