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Finding the Fourth Proportional to 271.69, 405.62 and 246.18

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Solution

The fourth proportional to 271.69, 405.62 and 246.18 is: 367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.69 : 405.62 = 246.18 : x
  2. Step 2: Convert to fraction form
    271.69/405.62 = 246.18/x
  3. Step 3: Cross multiply
    271.69x = 405.62 × 246.18
  4. Step 4: Simplify right side
    271.69x = 99,855.53
  5. Step 5: Solve for x
    x = 99,855.53/271.69
  6. Step 6: Final answer
    x = 367.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.