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Finding the Fourth Proportional to 213.15, 293.36 and 183.99

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Solution

The fourth proportional to 213.15, 293.36 and 183.99 is: 253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.15 : 293.36 = 183.99 : x
  2. Step 2: Convert to fraction form
    213.15/293.36 = 183.99/x
  3. Step 3: Cross multiply
    213.15x = 293.36 × 183.99
  4. Step 4: Simplify right side
    213.15x = 53,974.39
  5. Step 5: Solve for x
    x = 53,974.39/213.15
  6. Step 6: Final answer
    x = 253.22

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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.