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Finding the Fourth Proportional to 271.60, 407.68 and 180

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Solution

The fourth proportional to 271.60, 407.68 and 180 is: 270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.60 : 407.68 = 180 : x
  2. Step 2: Convert to fraction form
    271.60/407.68 = 180/x
  3. Step 3: Cross multiply
    271.60x = 407.68 × 180
  4. Step 4: Simplify right side
    271.60x = 73,382.40
  5. Step 5: Solve for x
    x = 73,382.40/271.60
  6. Step 6: Final answer
    x = 270.19

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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.