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Finding the Fourth Proportional to 303.93, 419.48 and 193.53

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Solution

The fourth proportional to 303.93, 419.48 and 193.53 is: 267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.93 : 419.48 = 193.53 : x
  2. Step 2: Convert to fraction form
    303.93/419.48 = 193.53/x
  3. Step 3: Cross multiply
    303.93x = 419.48 × 193.53
  4. Step 4: Simplify right side
    303.93x = 81,178.90
  5. Step 5: Solve for x
    x = 81,178.90/303.93
  6. Step 6: Final answer
    x = 267.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.