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Finding the Fourth Proportional to 448.11, 618.84 and 301.32

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Solution

The fourth proportional to 448.11, 618.84 and 301.32 is: 416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.11 : 618.84 = 301.32 : x
  2. Step 2: Convert to fraction form
    448.11/618.84 = 301.32/x
  3. Step 3: Cross multiply
    448.11x = 618.84 × 301.32
  4. Step 4: Simplify right side
    448.11x = 186,468.87
  5. Step 5: Solve for x
    x = 186,468.87/448.11
  6. Step 6: Final answer
    x = 416.12

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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.