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Finding the Fourth Proportional to 203.68, 305.55 and 59.41

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Solution

The fourth proportional to 203.68, 305.55 and 59.41 is: 89.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.68 : 305.55 = 59.41 : x
  2. Step 2: Convert to fraction form
    203.68/305.55 = 59.41/x
  3. Step 3: Cross multiply
    203.68x = 305.55 × 59.41
  4. Step 4: Simplify right side
    203.68x = 18,152.73
  5. Step 5: Solve for x
    x = 18,152.73/203.68
  6. Step 6: Final answer
    x = 89.12

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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.