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Finding the Fourth Proportional to 253.99, 380.29 and 192.95

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Solution

The fourth proportional to 253.99, 380.29 and 192.95 is: 288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.99 : 380.29 = 192.95 : x
  2. Step 2: Convert to fraction form
    253.99/380.29 = 192.95/x
  3. Step 3: Cross multiply
    253.99x = 380.29 × 192.95
  4. Step 4: Simplify right side
    253.99x = 73,376.96
  5. Step 5: Solve for x
    x = 73,376.96/253.99
  6. Step 6: Final answer
    x = 288.90

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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.