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Finding the Fourth Proportional to 448.36, 618.78 and 261.88

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Solution

The fourth proportional to 448.36, 618.78 and 261.88 is: 361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.36 : 618.78 = 261.88 : x
  2. Step 2: Convert to fraction form
    448.36/618.78 = 261.88/x
  3. Step 3: Cross multiply
    448.36x = 618.78 × 261.88
  4. Step 4: Simplify right side
    448.36x = 162,046.11
  5. Step 5: Solve for x
    x = 162,046.11/448.36
  6. Step 6: Final answer
    x = 361.42

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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.