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Finding the Fourth Proportional to 280.97, 419.56 and 266.93

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Solution

The fourth proportional to 280.97, 419.56 and 266.93 is: 398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 419.56 = 266.93 : x
  2. Step 2: Convert to fraction form
    280.97/419.56 = 266.93/x
  3. Step 3: Cross multiply
    280.97x = 419.56 × 266.93
  4. Step 4: Simplify right side
    280.97x = 111,993.15
  5. Step 5: Solve for x
    x = 111,993.15/280.97
  6. Step 6: Final answer
    x = 398.59

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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.