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Finding the Fourth Proportional to 219.40, 331.45 and 219.40

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Solution

The fourth proportional to 219.40, 331.45 and 219.40 is: 331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.40 : 331.45 = 219.40 : x
  2. Step 2: Convert to fraction form
    219.40/331.45 = 219.40/x
  3. Step 3: Cross multiply
    219.40x = 331.45 × 219.40
  4. Step 4: Simplify right side
    219.40x = 72,720.13
  5. Step 5: Solve for x
    x = 72,720.13/219.40
  6. Step 6: Final answer
    x = 331.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.