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Finding the Fourth Proportional to 271.64, 405.10 and 262.19

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Solution

The fourth proportional to 271.64, 405.10 and 262.19 is: 391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.64 : 405.10 = 262.19 : x
  2. Step 2: Convert to fraction form
    271.64/405.10 = 262.19/x
  3. Step 3: Cross multiply
    271.64x = 405.10 × 262.19
  4. Step 4: Simplify right side
    271.64x = 106,213.17
  5. Step 5: Solve for x
    x = 106,213.17/271.64
  6. Step 6: Final answer
    x = 391.01

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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.