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Finding the Fourth Proportional to 216.77, 297.55 and 191.66

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Solution

The fourth proportional to 216.77, 297.55 and 191.66 is: 263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.77 : 297.55 = 191.66 : x
  2. Step 2: Convert to fraction form
    216.77/297.55 = 191.66/x
  3. Step 3: Cross multiply
    216.77x = 297.55 × 191.66
  4. Step 4: Simplify right side
    216.77x = 57,028.43
  5. Step 5: Solve for x
    x = 57,028.43/216.77
  6. Step 6: Final answer
    x = 263.08

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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.