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Finding the Fourth Proportional to 216.74, 299.12 and 133.83

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Solution

The fourth proportional to 216.74, 299.12 and 133.83 is: 184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.74 : 299.12 = 133.83 : x
  2. Step 2: Convert to fraction form
    216.74/299.12 = 133.83/x
  3. Step 3: Cross multiply
    216.74x = 299.12 × 133.83
  4. Step 4: Simplify right side
    216.74x = 40,030.56
  5. Step 5: Solve for x
    x = 40,030.56/216.74
  6. Step 6: Final answer
    x = 184.69

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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.