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Finding the Fourth Proportional to 243.02, 363.72 and 212.96

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Solution

The fourth proportional to 243.02, 363.72 and 212.96 is: 318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.02 : 363.72 = 212.96 : x
  2. Step 2: Convert to fraction form
    243.02/363.72 = 212.96/x
  3. Step 3: Cross multiply
    243.02x = 363.72 × 212.96
  4. Step 4: Simplify right side
    243.02x = 77,457.81
  5. Step 5: Solve for x
    x = 77,457.81/243.02
  6. Step 6: Final answer
    x = 318.73

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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.