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Finding the Fourth Proportional to 401.46, 602.18 and 219.21

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Solution

The fourth proportional to 401.46, 602.18 and 219.21 is: 328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.46 : 602.18 = 219.21 : x
  2. Step 2: Convert to fraction form
    401.46/602.18 = 219.21/x
  3. Step 3: Cross multiply
    401.46x = 602.18 × 219.21
  4. Step 4: Simplify right side
    401.46x = 132,000.87
  5. Step 5: Solve for x
    x = 132,000.87/401.46
  6. Step 6: Final answer
    x = 328.81

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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.