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Finding the Fourth Proportional to 448.08, 618.20 and 290.83

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Solution

The fourth proportional to 448.08, 618.20 and 290.83 is: 401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.08 : 618.20 = 290.83 : x
  2. Step 2: Convert to fraction form
    448.08/618.20 = 290.83/x
  3. Step 3: Cross multiply
    448.08x = 618.20 × 290.83
  4. Step 4: Simplify right side
    448.08x = 179,791.11
  5. Step 5: Solve for x
    x = 179,791.11/448.08
  6. Step 6: Final answer
    x = 401.25

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Why These Related Problems?

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