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Finding the Fourth Proportional to 245.41, 338.72 and 193.13

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Solution

The fourth proportional to 245.41, 338.72 and 193.13 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.41 : 338.72 = 193.13 : x
  2. Step 2: Convert to fraction form
    245.41/338.72 = 193.13/x
  3. Step 3: Cross multiply
    245.41x = 338.72 × 193.13
  4. Step 4: Simplify right side
    245.41x = 65,417.51
  5. Step 5: Solve for x
    x = 65,417.51/245.41
  6. Step 6: Final answer
    x = 266.56

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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.