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Finding the Fourth Proportional to 245.73, 368.13 and 137.37

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Solution

The fourth proportional to 245.73, 368.13 and 137.37 is: 205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.73 : 368.13 = 137.37 : x
  2. Step 2: Convert to fraction form
    245.73/368.13 = 137.37/x
  3. Step 3: Cross multiply
    245.73x = 368.13 × 137.37
  4. Step 4: Simplify right side
    245.73x = 50,570.02
  5. Step 5: Solve for x
    x = 50,570.02/245.73
  6. Step 6: Final answer
    x = 205.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.