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Finding the Fourth Proportional to 189.27, 284.01 and 78.09

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Solution

The fourth proportional to 189.27, 284.01 and 78.09 is: 117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.27 : 284.01 = 78.09 : x
  2. Step 2: Convert to fraction form
    189.27/284.01 = 78.09/x
  3. Step 3: Cross multiply
    189.27x = 284.01 × 78.09
  4. Step 4: Simplify right side
    189.27x = 22,178.34
  5. Step 5: Solve for x
    x = 22,178.34/189.27
  6. Step 6: Final answer
    x = 117.18

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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.