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Finding the Fourth Proportional to 216.00, 297.23 and 191.49

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Solution

The fourth proportional to 216.00, 297.23 and 191.49 is: 263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.00 : 297.23 = 191.49 : x
  2. Step 2: Convert to fraction form
    216.00/297.23 = 191.49/x
  3. Step 3: Cross multiply
    216.00x = 297.23 × 191.49
  4. Step 4: Simplify right side
    216.00x = 56,915.57
  5. Step 5: Solve for x
    x = 56,915.57/216.00
  6. Step 6: Final answer
    x = 263.50

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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.