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Finding the Fourth Proportional to 189.74, 284.31 and 135.69

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Solution

The fourth proportional to 189.74, 284.31 and 135.69 is: 203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.74 : 284.31 = 135.69 : x
  2. Step 2: Convert to fraction form
    189.74/284.31 = 135.69/x
  3. Step 3: Cross multiply
    189.74x = 284.31 × 135.69
  4. Step 4: Simplify right side
    189.74x = 38,578.02
  5. Step 5: Solve for x
    x = 38,578.02/189.74
  6. Step 6: Final answer
    x = 203.32

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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.