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Finding the Fourth Proportional to 297.63, 410.75 and 219.19

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Solution

The fourth proportional to 297.63, 410.75 and 219.19 is: 302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.63 : 410.75 = 219.19 : x
  2. Step 2: Convert to fraction form
    297.63/410.75 = 219.19/x
  3. Step 3: Cross multiply
    297.63x = 410.75 × 219.19
  4. Step 4: Simplify right side
    297.63x = 90,032.29
  5. Step 5: Solve for x
    x = 90,032.29/297.63
  6. Step 6: Final answer
    x = 302.50

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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.