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Finding the Fourth Proportional to 280.94, 386.07 and 268.08

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Solution

The fourth proportional to 280.94, 386.07 and 268.08 is: 368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.94 : 386.07 = 268.08 : x
  2. Step 2: Convert to fraction form
    280.94/386.07 = 268.08/x
  3. Step 3: Cross multiply
    280.94x = 386.07 × 268.08
  4. Step 4: Simplify right side
    280.94x = 103,494.37
  5. Step 5: Solve for x
    x = 103,494.37/280.94
  6. Step 6: Final answer
    x = 368.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.