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Finding the Fourth Proportional to 300.98, 451.56 and 156.80

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Solution

The fourth proportional to 300.98, 451.56 and 156.80 is: 235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.98 : 451.56 = 156.80 : x
  2. Step 2: Convert to fraction form
    300.98/451.56 = 156.80/x
  3. Step 3: Cross multiply
    300.98x = 451.56 × 156.80
  4. Step 4: Simplify right side
    300.98x = 70,804.61
  5. Step 5: Solve for x
    x = 70,804.61/300.98
  6. Step 6: Final answer
    x = 235.25

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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.