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Finding the Fourth Proportional to 289.62, 397.26 and 256.86

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Solution

The fourth proportional to 289.62, 397.26 and 256.86 is: 352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.62 : 397.26 = 256.86 : x
  2. Step 2: Convert to fraction form
    289.62/397.26 = 256.86/x
  3. Step 3: Cross multiply
    289.62x = 397.26 × 256.86
  4. Step 4: Simplify right side
    289.62x = 102,040.20
  5. Step 5: Solve for x
    x = 102,040.20/289.62
  6. Step 6: Final answer
    x = 352.32

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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.