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Finding the Fourth Proportional to 215.12, 321.37 and 137.46

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Solution

The fourth proportional to 215.12, 321.37 and 137.46 is: 205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.12 : 321.37 = 137.46 : x
  2. Step 2: Convert to fraction form
    215.12/321.37 = 137.46/x
  3. Step 3: Cross multiply
    215.12x = 321.37 × 137.46
  4. Step 4: Simplify right side
    215.12x = 44,175.52
  5. Step 5: Solve for x
    x = 44,175.52/215.12
  6. Step 6: Final answer
    x = 205.35

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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.