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Finding the Fourth Proportional to 271.55, 405.28 and 264.26

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Solution

The fourth proportional to 271.55, 405.28 and 264.26 is: 394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.55 : 405.28 = 264.26 : x
  2. Step 2: Convert to fraction form
    271.55/405.28 = 264.26/x
  3. Step 3: Cross multiply
    271.55x = 405.28 × 264.26
  4. Step 4: Simplify right side
    271.55x = 107,099.89
  5. Step 5: Solve for x
    x = 107,099.89/271.55
  6. Step 6: Final answer
    x = 394.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.