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Finding the Fourth Proportional to 271.21, 374.29 and 153.23

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Solution

The fourth proportional to 271.21, 374.29 and 153.23 is: 211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.21 : 374.29 = 153.23 : x
  2. Step 2: Convert to fraction form
    271.21/374.29 = 153.23/x
  3. Step 3: Cross multiply
    271.21x = 374.29 × 153.23
  4. Step 4: Simplify right side
    271.21x = 57,350.59
  5. Step 5: Solve for x
    x = 57,350.59/271.21
  6. Step 6: Final answer
    x = 211.47

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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.