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Finding the Fourth Proportional to 193.01, 288.23 and 182.48

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Solution

The fourth proportional to 193.01, 288.23 and 182.48 is: 272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.01 : 288.23 = 182.48 : x
  2. Step 2: Convert to fraction form
    193.01/288.23 = 182.48/x
  3. Step 3: Cross multiply
    193.01x = 288.23 × 182.48
  4. Step 4: Simplify right side
    193.01x = 52,595.23
  5. Step 5: Solve for x
    x = 52,595.23/193.01
  6. Step 6: Final answer
    x = 272.51

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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.