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Finding the Fourth Proportional to 481.49, 722 and 156.77

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Solution

The fourth proportional to 481.49, 722 and 156.77 is: 235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.49 : 722 = 156.77 : x
  2. Step 2: Convert to fraction form
    481.49/722 = 156.77/x
  3. Step 3: Cross multiply
    481.49x = 722 × 156.77
  4. Step 4: Simplify right side
    481.49x = 113,187.94
  5. Step 5: Solve for x
    x = 113,187.94/481.49
  6. Step 6: Final answer
    x = 235.08

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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.