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Finding the Fourth Proportional to 271.74, 405.42 and 259.72

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Solution

The fourth proportional to 271.74, 405.42 and 259.72 is: 387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.74 : 405.42 = 259.72 : x
  2. Step 2: Convert to fraction form
    271.74/405.42 = 259.72/x
  3. Step 3: Cross multiply
    271.74x = 405.42 × 259.72
  4. Step 4: Simplify right side
    271.74x = 105,295.68
  5. Step 5: Solve for x
    x = 105,295.68/271.74
  6. Step 6: Final answer
    x = 387.49

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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.