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Finding the Fourth Proportional to 215.47, 295.73 and 199.03

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Solution

The fourth proportional to 215.47, 295.73 and 199.03 is: 273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.47 : 295.73 = 199.03 : x
  2. Step 2: Convert to fraction form
    215.47/295.73 = 199.03/x
  3. Step 3: Cross multiply
    215.47x = 295.73 × 199.03
  4. Step 4: Simplify right side
    215.47x = 58,859.14
  5. Step 5: Solve for x
    x = 58,859.14/215.47
  6. Step 6: Final answer
    x = 273.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.