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Finding the Fourth Proportional to 289.15, 434.21 and 274.54

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Solution

The fourth proportional to 289.15, 434.21 and 274.54 is: 412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.15 : 434.21 = 274.54 : x
  2. Step 2: Convert to fraction form
    289.15/434.21 = 274.54/x
  3. Step 3: Cross multiply
    289.15x = 434.21 × 274.54
  4. Step 4: Simplify right side
    289.15x = 119,208.01
  5. Step 5: Solve for x
    x = 119,208.01/289.15
  6. Step 6: Final answer
    x = 412.27

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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.