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Finding the Fourth Proportional to 213.37, 318.51 and 182.39

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Solution

The fourth proportional to 213.37, 318.51 and 182.39 is: 272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.37 : 318.51 = 182.39 : x
  2. Step 2: Convert to fraction form
    213.37/318.51 = 182.39/x
  3. Step 3: Cross multiply
    213.37x = 318.51 × 182.39
  4. Step 4: Simplify right side
    213.37x = 58,091.45
  5. Step 5: Solve for x
    x = 58,091.45/213.37
  6. Step 6: Final answer
    x = 272.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.