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Finding the Fourth Proportional to 602.29, 902.98 and 212.12

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Solution

The fourth proportional to 602.29, 902.98 and 212.12 is: 318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.29 : 902.98 = 212.12 : x
  2. Step 2: Convert to fraction form
    602.29/902.98 = 212.12/x
  3. Step 3: Cross multiply
    602.29x = 902.98 × 212.12
  4. Step 4: Simplify right side
    602.29x = 191,540.12
  5. Step 5: Solve for x
    x = 191,540.12/602.29
  6. Step 6: Final answer
    x = 318.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.