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Finding the Fourth Proportional to 338.07, 509.09 and 298.02

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Solution

The fourth proportional to 338.07, 509.09 and 298.02 is: 448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.07 : 509.09 = 298.02 : x
  2. Step 2: Convert to fraction form
    338.07/509.09 = 298.02/x
  3. Step 3: Cross multiply
    338.07x = 509.09 × 298.02
  4. Step 4: Simplify right side
    338.07x = 151,719.75
  5. Step 5: Solve for x
    x = 151,719.75/338.07
  6. Step 6: Final answer
    x = 448.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.