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Finding the Fourth Proportional to 268.49, 400.55 and 261.05

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Solution

The fourth proportional to 268.49, 400.55 and 261.05 is: 389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.49 : 400.55 = 261.05 : x
  2. Step 2: Convert to fraction form
    268.49/400.55 = 261.05/x
  3. Step 3: Cross multiply
    268.49x = 400.55 × 261.05
  4. Step 4: Simplify right side
    268.49x = 104,563.58
  5. Step 5: Solve for x
    x = 104,563.58/268.49
  6. Step 6: Final answer
    x = 389.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.