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Finding the Fourth Proportional to 271.51, 374.65 and 160.96

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Solution

The fourth proportional to 271.51, 374.65 and 160.96 is: 222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.51 : 374.65 = 160.96 : x
  2. Step 2: Convert to fraction form
    271.51/374.65 = 160.96/x
  3. Step 3: Cross multiply
    271.51x = 374.65 × 160.96
  4. Step 4: Simplify right side
    271.51x = 60,302.86
  5. Step 5: Solve for x
    x = 60,302.86/271.51
  6. Step 6: Final answer
    x = 222.11

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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.