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Finding the Fourth Proportional to 271.44, 406.76 and 117.10

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Solution

The fourth proportional to 271.44, 406.76 and 117.10 is: 175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 406.76 = 117.10 : x
  2. Step 2: Convert to fraction form
    271.44/406.76 = 117.10/x
  3. Step 3: Cross multiply
    271.44x = 406.76 × 117.10
  4. Step 4: Simplify right side
    271.44x = 47,629.72
  5. Step 5: Solve for x
    x = 47,629.72/271.44
  6. Step 6: Final answer
    x = 175.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.