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Finding the Fourth Proportional to 271.68, 405.53 and 247.38

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Solution

The fourth proportional to 271.68, 405.53 and 247.38 is: 369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.68 : 405.53 = 247.38 : x
  2. Step 2: Convert to fraction form
    271.68/405.53 = 247.38/x
  3. Step 3: Cross multiply
    271.68x = 405.53 × 247.38
  4. Step 4: Simplify right side
    271.68x = 100,318.77
  5. Step 5: Solve for x
    x = 100,318.77/271.68
  6. Step 6: Final answer
    x = 369.25

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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.