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Finding the Fourth Proportional to 289.68, 435.60 and 273.36

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Solution

The fourth proportional to 289.68, 435.60 and 273.36 is: 411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.68 : 435.60 = 273.36 : x
  2. Step 2: Convert to fraction form
    289.68/435.60 = 273.36/x
  3. Step 3: Cross multiply
    289.68x = 435.60 × 273.36
  4. Step 4: Simplify right side
    289.68x = 119,075.62
  5. Step 5: Solve for x
    x = 119,075.62/289.68
  6. Step 6: Final answer
    x = 411.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.