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Finding the Fourth Proportional to 293.49, 405 and 183.06

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Solution

The fourth proportional to 293.49, 405 and 183.06 is: 252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.49 : 405 = 183.06 : x
  2. Step 2: Convert to fraction form
    293.49/405 = 183.06/x
  3. Step 3: Cross multiply
    293.49x = 405 × 183.06
  4. Step 4: Simplify right side
    293.49x = 74,139.30
  5. Step 5: Solve for x
    x = 74,139.30/293.49
  6. Step 6: Final answer
    x = 252.61

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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.