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Finding the Fourth Proportional to 189.72, 259.85 and 178.65

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Solution

The fourth proportional to 189.72, 259.85 and 178.65 is: 244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.72 : 259.85 = 178.65 : x
  2. Step 2: Convert to fraction form
    189.72/259.85 = 178.65/x
  3. Step 3: Cross multiply
    189.72x = 259.85 × 178.65
  4. Step 4: Simplify right side
    189.72x = 46,422.65
  5. Step 5: Solve for x
    x = 46,422.65/189.72
  6. Step 6: Final answer
    x = 244.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.