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Finding the Fourth Proportional to 491.96, 738.03 and 203.42

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Solution

The fourth proportional to 491.96, 738.03 and 203.42 is: 305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.96 : 738.03 = 203.42 : x
  2. Step 2: Convert to fraction form
    491.96/738.03 = 203.42/x
  3. Step 3: Cross multiply
    491.96x = 738.03 × 203.42
  4. Step 4: Simplify right side
    491.96x = 150,130.06
  5. Step 5: Solve for x
    x = 150,130.06/491.96
  6. Step 6: Final answer
    x = 305.17

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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.