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Finding the Fourth Proportional to 271.65, 407.26 and 141.60

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Solution

The fourth proportional to 271.65, 407.26 and 141.60 is: 212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.65 : 407.26 = 141.60 : x
  2. Step 2: Convert to fraction form
    271.65/407.26 = 141.60/x
  3. Step 3: Cross multiply
    271.65x = 407.26 × 141.60
  4. Step 4: Simplify right side
    271.65x = 57,668.02
  5. Step 5: Solve for x
    x = 57,668.02/271.65
  6. Step 6: Final answer
    x = 212.29

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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.