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Finding the Fourth Proportional to 402.29, 602.88 and 196.45

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Solution

The fourth proportional to 402.29, 602.88 and 196.45 is: 294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.29 : 602.88 = 196.45 : x
  2. Step 2: Convert to fraction form
    402.29/602.88 = 196.45/x
  3. Step 3: Cross multiply
    402.29x = 602.88 × 196.45
  4. Step 4: Simplify right side
    402.29x = 118,435.78
  5. Step 5: Solve for x
    x = 118,435.78/402.29
  6. Step 6: Final answer
    x = 294.40

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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.