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Finding the Fourth Proportional to 448.28, 618.63 and 261.78

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Solution

The fourth proportional to 448.28, 618.63 and 261.78 is: 361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.28 : 618.63 = 261.78 : x
  2. Step 2: Convert to fraction form
    448.28/618.63 = 261.78/x
  3. Step 3: Cross multiply
    448.28x = 618.63 × 261.78
  4. Step 4: Simplify right side
    448.28x = 161,944.31
  5. Step 5: Solve for x
    x = 161,944.31/448.28
  6. Step 6: Final answer
    x = 361.26

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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.