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Finding the Fourth Proportional to 216.31, 299.30 and 188.74

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Solution

The fourth proportional to 216.31, 299.30 and 188.74 is: 261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.31 : 299.30 = 188.74 : x
  2. Step 2: Convert to fraction form
    216.31/299.30 = 188.74/x
  3. Step 3: Cross multiply
    216.31x = 299.30 × 188.74
  4. Step 4: Simplify right side
    216.31x = 56,489.88
  5. Step 5: Solve for x
    x = 56,489.88/216.31
  6. Step 6: Final answer
    x = 261.15

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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.