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Finding the Fourth Proportional to 243.44, 363.30 and 212.72

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Solution

The fourth proportional to 243.44, 363.30 and 212.72 is: 317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.44 : 363.30 = 212.72 : x
  2. Step 2: Convert to fraction form
    243.44/363.30 = 212.72/x
  3. Step 3: Cross multiply
    243.44x = 363.30 × 212.72
  4. Step 4: Simplify right side
    243.44x = 77,281.18
  5. Step 5: Solve for x
    x = 77,281.18/243.44
  6. Step 6: Final answer
    x = 317.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.