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Finding the Fourth Proportional to 280.65, 418.68 and 273.11

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Solution

The fourth proportional to 280.65, 418.68 and 273.11 is: 407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.65 : 418.68 = 273.11 : x
  2. Step 2: Convert to fraction form
    280.65/418.68 = 273.11/x
  3. Step 3: Cross multiply
    280.65x = 418.68 × 273.11
  4. Step 4: Simplify right side
    280.65x = 114,345.69
  5. Step 5: Solve for x
    x = 114,345.69/280.65
  6. Step 6: Final answer
    x = 407.43

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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.