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Finding the Fourth Proportional to 231.19, 346.88 and 109.45

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Solution

The fourth proportional to 231.19, 346.88 and 109.45 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.19 : 346.88 = 109.45 : x
  2. Step 2: Convert to fraction form
    231.19/346.88 = 109.45/x
  3. Step 3: Cross multiply
    231.19x = 346.88 × 109.45
  4. Step 4: Simplify right side
    231.19x = 37,966.72
  5. Step 5: Solve for x
    x = 37,966.72/231.19
  6. Step 6: Final answer
    x = 164.22

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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.