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Finding the Fourth Proportional to 496.46, 744.74 and 131.25

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Solution

The fourth proportional to 496.46, 744.74 and 131.25 is: 196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.46 : 744.74 = 131.25 : x
  2. Step 2: Convert to fraction form
    496.46/744.74 = 131.25/x
  3. Step 3: Cross multiply
    496.46x = 744.74 × 131.25
  4. Step 4: Simplify right side
    496.46x = 97,746.47
  5. Step 5: Solve for x
    x = 97,746.47/496.46
  6. Step 6: Final answer
    x = 196.89

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