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Finding the Fourth Proportional to 448.25, 618.53 and 261.77

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Solution

The fourth proportional to 448.25, 618.53 and 261.77 is: 361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.25 : 618.53 = 261.77 : x
  2. Step 2: Convert to fraction form
    448.25/618.53 = 261.77/x
  3. Step 3: Cross multiply
    448.25x = 618.53 × 261.77
  4. Step 4: Simplify right side
    448.25x = 161,912.84
  5. Step 5: Solve for x
    x = 161,912.84/448.25
  6. Step 6: Final answer
    x = 361.22

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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.