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Finding the Fourth Proportional to 193.02, 288.37 and 183.03

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Solution

The fourth proportional to 193.02, 288.37 and 183.03 is: 273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.02 : 288.37 = 183.03 : x
  2. Step 2: Convert to fraction form
    193.02/288.37 = 183.03/x
  3. Step 3: Cross multiply
    193.02x = 288.37 × 183.03
  4. Step 4: Simplify right side
    193.02x = 52,780.36
  5. Step 5: Solve for x
    x = 52,780.36/193.02
  6. Step 6: Final answer
    x = 273.45

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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.