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Finding the Fourth Proportional to 289.47, 431.19 and 274.08

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Solution

The fourth proportional to 289.47, 431.19 and 274.08 is: 408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.47 : 431.19 = 274.08 : x
  2. Step 2: Convert to fraction form
    289.47/431.19 = 274.08/x
  3. Step 3: Cross multiply
    289.47x = 431.19 × 274.08
  4. Step 4: Simplify right side
    289.47x = 118,180.56
  5. Step 5: Solve for x
    x = 118,180.56/289.47
  6. Step 6: Final answer
    x = 408.27

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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.