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Finding the Fourth Proportional to 289.40, 435.84 and 273.20

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Solution

The fourth proportional to 289.40, 435.84 and 273.20 is: 411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.40 : 435.84 = 273.20 : x
  2. Step 2: Convert to fraction form
    289.40/435.84 = 273.20/x
  3. Step 3: Cross multiply
    289.40x = 435.84 × 273.20
  4. Step 4: Simplify right side
    289.40x = 119,071.49
  5. Step 5: Solve for x
    x = 119,071.49/289.40
  6. Step 6: Final answer
    x = 411.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.