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Finding the Fourth Proportional to 289.32, 396.40 and 285.47

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Solution

The fourth proportional to 289.32, 396.40 and 285.47 is: 391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 396.40 = 285.47 : x
  2. Step 2: Convert to fraction form
    289.32/396.40 = 285.47/x
  3. Step 3: Cross multiply
    289.32x = 396.40 × 285.47
  4. Step 4: Simplify right side
    289.32x = 113,160.31
  5. Step 5: Solve for x
    x = 113,160.31/289.32
  6. Step 6: Final answer
    x = 391.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.