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Finding the Fourth Proportional to 231.04, 346.60 and 180.30

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Solution

The fourth proportional to 231.04, 346.60 and 180.30 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.04 : 346.60 = 180.30 : x
  2. Step 2: Convert to fraction form
    231.04/346.60 = 180.30/x
  3. Step 3: Cross multiply
    231.04x = 346.60 × 180.30
  4. Step 4: Simplify right side
    231.04x = 62,491.98
  5. Step 5: Solve for x
    x = 62,491.98/231.04
  6. Step 6: Final answer
    x = 270.48

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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.