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Finding the Fourth Proportional to 402.16, 602.96 and 219.64

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Solution

The fourth proportional to 402.16, 602.96 and 219.64 is: 329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.16 : 602.96 = 219.64 : x
  2. Step 2: Convert to fraction form
    402.16/602.96 = 219.64/x
  3. Step 3: Cross multiply
    402.16x = 602.96 × 219.64
  4. Step 4: Simplify right side
    402.16x = 132,434.13
  5. Step 5: Solve for x
    x = 132,434.13/402.16
  6. Step 6: Final answer
    x = 329.31

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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.