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Finding the Fourth Proportional to 280.63, 418.40 and 273.42

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Solution

The fourth proportional to 280.63, 418.40 and 273.42 is: 407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.63 : 418.40 = 273.42 : x
  2. Step 2: Convert to fraction form
    280.63/418.40 = 273.42/x
  3. Step 3: Cross multiply
    280.63x = 418.40 × 273.42
  4. Step 4: Simplify right side
    280.63x = 114,398.59
  5. Step 5: Solve for x
    x = 114,398.59/280.63
  6. Step 6: Final answer
    x = 407.65

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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.