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Finding the Fourth Proportional to 289.40, 433.80 and 273.20

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Solution

The fourth proportional to 289.40, 433.80 and 273.20 is: 409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.40 : 433.80 = 273.20 : x
  2. Step 2: Convert to fraction form
    289.40/433.80 = 273.20/x
  3. Step 3: Cross multiply
    289.40x = 433.80 × 273.20
  4. Step 4: Simplify right side
    289.40x = 118,514.16
  5. Step 5: Solve for x
    x = 118,514.16/289.40
  6. Step 6: Final answer
    x = 409.52

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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.