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Finding the Fourth Proportional to 279.80, 417.50 and 273.60

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Solution

The fourth proportional to 279.80, 417.50 and 273.60 is: 408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.80 : 417.50 = 273.60 : x
  2. Step 2: Convert to fraction form
    279.80/417.50 = 273.60/x
  3. Step 3: Cross multiply
    279.80x = 417.50 × 273.60
  4. Step 4: Simplify right side
    279.80x = 114,228.00
  5. Step 5: Solve for x
    x = 114,228.00/279.80
  6. Step 6: Final answer
    x = 408.25

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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.