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Finding the Fourth Proportional to 882.77, 1,324.22 and 233.50

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Solution

The fourth proportional to 882.77, 1,324.22 and 233.50 is: 350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.77 : 1,324.22 = 233.50 : x
  2. Step 2: Convert to fraction form
    882.77/1,324.22 = 233.50/x
  3. Step 3: Cross multiply
    882.77x = 1,324.22 × 233.50
  4. Step 4: Simplify right side
    882.77x = 309,205.37
  5. Step 5: Solve for x
    x = 309,205.37/882.77
  6. Step 6: Final answer
    x = 350.27

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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.