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Finding the Fourth Proportional to 216.22, 297.64 and 186.82

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Solution

The fourth proportional to 216.22, 297.64 and 186.82 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.22 : 297.64 = 186.82 : x
  2. Step 2: Convert to fraction form
    216.22/297.64 = 186.82/x
  3. Step 3: Cross multiply
    216.22x = 297.64 × 186.82
  4. Step 4: Simplify right side
    216.22x = 55,605.10
  5. Step 5: Solve for x
    x = 55,605.10/216.22
  6. Step 6: Final answer
    x = 257.17

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