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Finding the Fourth Proportional to 289.25, 397.70 and 259.54

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Solution

The fourth proportional to 289.25, 397.70 and 259.54 is: 356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.25 : 397.70 = 259.54 : x
  2. Step 2: Convert to fraction form
    289.25/397.70 = 259.54/x
  3. Step 3: Cross multiply
    289.25x = 397.70 × 259.54
  4. Step 4: Simplify right side
    289.25x = 103,216.77
  5. Step 5: Solve for x
    x = 103,216.77/289.25
  6. Step 6: Final answer
    x = 356.84

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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.