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Finding the Fourth Proportional to 189, 284.94 and 179.07

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Solution

The fourth proportional to 189, 284.94 and 179.07 is: 269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 284.94 = 179.07 : x
  2. Step 2: Convert to fraction form
    189/284.94 = 179.07/x
  3. Step 3: Cross multiply
    189x = 284.94 × 179.07
  4. Step 4: Simplify right side
    189x = 51,024.21
  5. Step 5: Solve for x
    x = 51,024.21/189
  6. Step 6: Final answer
    x = 269.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.