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Finding the Fourth Proportional to 231.15, 319.14 and 169.05

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Solution

The fourth proportional to 231.15, 319.14 and 169.05 is: 233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.15 : 319.14 = 169.05 : x
  2. Step 2: Convert to fraction form
    231.15/319.14 = 169.05/x
  3. Step 3: Cross multiply
    231.15x = 319.14 × 169.05
  4. Step 4: Simplify right side
    231.15x = 53,950.62
  5. Step 5: Solve for x
    x = 53,950.62/231.15
  6. Step 6: Final answer
    x = 233.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.