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Finding the Fourth Proportional to 219.28, 300.40 and 211.06

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Solution

The fourth proportional to 219.28, 300.40 and 211.06 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.28 : 300.40 = 211.06 : x
  2. Step 2: Convert to fraction form
    219.28/300.40 = 211.06/x
  3. Step 3: Cross multiply
    219.28x = 300.40 × 211.06
  4. Step 4: Simplify right side
    219.28x = 63,402.42
  5. Step 5: Solve for x
    x = 63,402.42/219.28
  6. Step 6: Final answer
    x = 289.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.