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Finding the Fourth Proportional to 216.64, 297.14 and 190.72

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Solution

The fourth proportional to 216.64, 297.14 and 190.72 is: 261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.64 : 297.14 = 190.72 : x
  2. Step 2: Convert to fraction form
    216.64/297.14 = 190.72/x
  3. Step 3: Cross multiply
    216.64x = 297.14 × 190.72
  4. Step 4: Simplify right side
    216.64x = 56,670.54
  5. Step 5: Solve for x
    x = 56,670.54/216.64
  6. Step 6: Final answer
    x = 261.59

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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.