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Finding the Fourth Proportional to 280.39, 386.99 and 258.43

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Solution

The fourth proportional to 280.39, 386.99 and 258.43 is: 356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.39 : 386.99 = 258.43 : x
  2. Step 2: Convert to fraction form
    280.39/386.99 = 258.43/x
  3. Step 3: Cross multiply
    280.39x = 386.99 × 258.43
  4. Step 4: Simplify right side
    280.39x = 100,009.83
  5. Step 5: Solve for x
    x = 100,009.83/280.39
  6. Step 6: Final answer
    x = 356.68

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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.