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Finding the Fourth Proportional to 247.84, 339.56 and 213.28

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Solution

The fourth proportional to 247.84, 339.56 and 213.28 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.84 : 339.56 = 213.28 : x
  2. Step 2: Convert to fraction form
    247.84/339.56 = 213.28/x
  3. Step 3: Cross multiply
    247.84x = 339.56 × 213.28
  4. Step 4: Simplify right side
    247.84x = 72,421.36
  5. Step 5: Solve for x
    x = 72,421.36/247.84
  6. Step 6: Final answer
    x = 292.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.