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Finding the Fourth Proportional to 851.52, 1,277.36 and 235.26

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Solution

The fourth proportional to 851.52, 1,277.36 and 235.26 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.52 : 1,277.36 = 235.26 : x
  2. Step 2: Convert to fraction form
    851.52/1,277.36 = 235.26/x
  3. Step 3: Cross multiply
    851.52x = 1,277.36 × 235.26
  4. Step 4: Simplify right side
    851.52x = 300,511.71
  5. Step 5: Solve for x
    x = 300,511.71/851.52
  6. Step 6: Final answer
    x = 352.91

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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.