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Finding the Fourth Proportional to 231.16, 318.60 and 189.40

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Solution

The fourth proportional to 231.16, 318.60 and 189.40 is: 261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.16 : 318.60 = 189.40 : x
  2. Step 2: Convert to fraction form
    231.16/318.60 = 189.40/x
  3. Step 3: Cross multiply
    231.16x = 318.60 × 189.40
  4. Step 4: Simplify right side
    231.16x = 60,342.84
  5. Step 5: Solve for x
    x = 60,342.84/231.16
  6. Step 6: Final answer
    x = 261.04

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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.