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Finding the Fourth Proportional to 231.45, 320.86 and 219.12

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Solution

The fourth proportional to 231.45, 320.86 and 219.12 is: 303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.45 : 320.86 = 219.12 : x
  2. Step 2: Convert to fraction form
    231.45/320.86 = 219.12/x
  3. Step 3: Cross multiply
    231.45x = 320.86 × 219.12
  4. Step 4: Simplify right side
    231.45x = 70,307.66
  5. Step 5: Solve for x
    x = 70,307.66/231.45
  6. Step 6: Final answer
    x = 303.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.