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Finding the Fourth Proportional to 202.99, 280.09 and 114.45

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Solution

The fourth proportional to 202.99, 280.09 and 114.45 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.99 : 280.09 = 114.45 : x
  2. Step 2: Convert to fraction form
    202.99/280.09 = 114.45/x
  3. Step 3: Cross multiply
    202.99x = 280.09 × 114.45
  4. Step 4: Simplify right side
    202.99x = 32,055.73
  5. Step 5: Solve for x
    x = 32,055.73/202.99
  6. Step 6: Final answer
    x = 157.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.