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Finding the Fourth Proportional to 271.36, 407.14 and 109.02

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Solution

The fourth proportional to 271.36, 407.14 and 109.02 is: 163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.36 : 407.14 = 109.02 : x
  2. Step 2: Convert to fraction form
    271.36/407.14 = 109.02/x
  3. Step 3: Cross multiply
    271.36x = 407.14 × 109.02
  4. Step 4: Simplify right side
    271.36x = 44,386.13
  5. Step 5: Solve for x
    x = 44,386.13/271.36
  6. Step 6: Final answer
    x = 163.57

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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.