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Finding the Fourth Proportional to 310.74, 466.05 and 219.15

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Solution

The fourth proportional to 310.74, 466.05 and 219.15 is: 328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.74 : 466.05 = 219.15 : x
  2. Step 2: Convert to fraction form
    310.74/466.05 = 219.15/x
  3. Step 3: Cross multiply
    310.74x = 466.05 × 219.15
  4. Step 4: Simplify right side
    310.74x = 102,137.43
  5. Step 5: Solve for x
    x = 102,137.43/310.74
  6. Step 6: Final answer
    x = 328.69

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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.