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Finding the Fourth Proportional to 451.16, 675.76 and 219.56

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Solution

The fourth proportional to 451.16, 675.76 and 219.56 is: 328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.16 : 675.76 = 219.56 : x
  2. Step 2: Convert to fraction form
    451.16/675.76 = 219.56/x
  3. Step 3: Cross multiply
    451.16x = 675.76 × 219.56
  4. Step 4: Simplify right side
    451.16x = 148,371.01
  5. Step 5: Solve for x
    x = 148,371.01/451.16
  6. Step 6: Final answer
    x = 328.87

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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.