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Finding the Fourth Proportional to 310.11, 465.18 and 127.41

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Solution

The fourth proportional to 310.11, 465.18 and 127.41 is: 191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.11 : 465.18 = 127.41 : x
  2. Step 2: Convert to fraction form
    310.11/465.18 = 127.41/x
  3. Step 3: Cross multiply
    310.11x = 465.18 × 127.41
  4. Step 4: Simplify right side
    310.11x = 59,268.58
  5. Step 5: Solve for x
    x = 59,268.58/310.11
  6. Step 6: Final answer
    x = 191.12

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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.