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Finding the Fourth Proportional to 268.80, 405.60 and 254.40

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Solution

The fourth proportional to 268.80, 405.60 and 254.40 is: 383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.80 : 405.60 = 254.40 : x
  2. Step 2: Convert to fraction form
    268.80/405.60 = 254.40/x
  3. Step 3: Cross multiply
    268.80x = 405.60 × 254.40
  4. Step 4: Simplify right side
    268.80x = 103,184.64
  5. Step 5: Solve for x
    x = 103,184.64/268.80
  6. Step 6: Final answer
    x = 383.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.