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Finding the Fourth Proportional to 313, 431.94 and 182.02

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Solution

The fourth proportional to 313, 431.94 and 182.02 is: 251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313 : 431.94 = 182.02 : x
  2. Step 2: Convert to fraction form
    313/431.94 = 182.02/x
  3. Step 3: Cross multiply
    313x = 431.94 × 182.02
  4. Step 4: Simplify right side
    313x = 78,621.72
  5. Step 5: Solve for x
    x = 78,621.72/313
  6. Step 6: Final answer
    x = 251.19

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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.