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Finding the Fourth Proportional to 351.85, 485.29 and 219.14

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Solution

The fourth proportional to 351.85, 485.29 and 219.14 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.85 : 485.29 = 219.14 : x
  2. Step 2: Convert to fraction form
    351.85/485.29 = 219.14/x
  3. Step 3: Cross multiply
    351.85x = 485.29 × 219.14
  4. Step 4: Simplify right side
    351.85x = 106,346.45
  5. Step 5: Solve for x
    x = 106,346.45/351.85
  6. Step 6: Final answer
    x = 302.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.