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Finding the Fourth Proportional to 289.34, 435.98 and 239.09

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Solution

The fourth proportional to 289.34, 435.98 and 239.09 is: 360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.34 : 435.98 = 239.09 : x
  2. Step 2: Convert to fraction form
    289.34/435.98 = 239.09/x
  3. Step 3: Cross multiply
    289.34x = 435.98 × 239.09
  4. Step 4: Simplify right side
    289.34x = 104,236.88
  5. Step 5: Solve for x
    x = 104,236.88/289.34
  6. Step 6: Final answer
    x = 360.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.