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Finding the Fourth Proportional to 448.11, 618.40 and 261.73

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Solution

The fourth proportional to 448.11, 618.40 and 261.73 is: 361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.11 : 618.40 = 261.73 : x
  2. Step 2: Convert to fraction form
    448.11/618.40 = 261.73/x
  3. Step 3: Cross multiply
    448.11x = 618.40 × 261.73
  4. Step 4: Simplify right side
    448.11x = 161,853.83
  5. Step 5: Solve for x
    x = 161,853.83/448.11
  6. Step 6: Final answer
    x = 361.19

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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.