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Finding the Fourth Proportional to 280.66, 418.11 and 273.50

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Solution

The fourth proportional to 280.66, 418.11 and 273.50 is: 407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.66 : 418.11 = 273.50 : x
  2. Step 2: Convert to fraction form
    280.66/418.11 = 273.50/x
  3. Step 3: Cross multiply
    280.66x = 418.11 × 273.50
  4. Step 4: Simplify right side
    280.66x = 114,353.10
  5. Step 5: Solve for x
    x = 114,353.10/280.66
  6. Step 6: Final answer
    x = 407.45

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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.