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Finding the Fourth Proportional to 271.45, 374.69 and 160.99

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Solution

The fourth proportional to 271.45, 374.69 and 160.99 is: 222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.45 : 374.69 = 160.99 : x
  2. Step 2: Convert to fraction form
    271.45/374.69 = 160.99/x
  3. Step 3: Cross multiply
    271.45x = 374.69 × 160.99
  4. Step 4: Simplify right side
    271.45x = 60,320.81
  5. Step 5: Solve for x
    x = 60,320.81/271.45
  6. Step 6: Final answer
    x = 222.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.