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Finding the Fourth Proportional to 825.01, 1,237.34 and 239.89

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Solution

The fourth proportional to 825.01, 1,237.34 and 239.89 is: 359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.01 : 1,237.34 = 239.89 : x
  2. Step 2: Convert to fraction form
    825.01/1,237.34 = 239.89/x
  3. Step 3: Cross multiply
    825.01x = 1,237.34 × 239.89
  4. Step 4: Simplify right side
    825.01x = 296,825.49
  5. Step 5: Solve for x
    x = 296,825.49/825.01
  6. Step 6: Final answer
    x = 359.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.