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Finding the Fourth Proportional to 319.42, 478.90 and 182.53

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Solution

The fourth proportional to 319.42, 478.90 and 182.53 is: 273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.42 : 478.90 = 182.53 : x
  2. Step 2: Convert to fraction form
    319.42/478.90 = 182.53/x
  3. Step 3: Cross multiply
    319.42x = 478.90 × 182.53
  4. Step 4: Simplify right side
    319.42x = 87,413.62
  5. Step 5: Solve for x
    x = 87,413.62/319.42
  6. Step 6: Final answer
    x = 273.66

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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.