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Finding the Fourth Proportional to 271.07, 374.07 and 154.64

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Solution

The fourth proportional to 271.07, 374.07 and 154.64 is: 213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.07 : 374.07 = 154.64 : x
  2. Step 2: Convert to fraction form
    271.07/374.07 = 154.64/x
  3. Step 3: Cross multiply
    271.07x = 374.07 × 154.64
  4. Step 4: Simplify right side
    271.07x = 57,846.18
  5. Step 5: Solve for x
    x = 57,846.18/271.07
  6. Step 6: Final answer
    x = 213.40

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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.