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Finding the Fourth Proportional to 243.79, 336.47 and 212.50

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Solution

The fourth proportional to 243.79, 336.47 and 212.50 is: 293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.79 : 336.47 = 212.50 : x
  2. Step 2: Convert to fraction form
    243.79/336.47 = 212.50/x
  3. Step 3: Cross multiply
    243.79x = 336.47 × 212.50
  4. Step 4: Simplify right side
    243.79x = 71,499.88
  5. Step 5: Solve for x
    x = 71,499.88/243.79
  6. Step 6: Final answer
    x = 293.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.