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Finding the Fourth Proportional to 271.45, 406.36 and 210.25

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Solution

The fourth proportional to 271.45, 406.36 and 210.25 is: 314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.45 : 406.36 = 210.25 : x
  2. Step 2: Convert to fraction form
    271.45/406.36 = 210.25/x
  3. Step 3: Cross multiply
    271.45x = 406.36 × 210.25
  4. Step 4: Simplify right side
    271.45x = 85,437.19
  5. Step 5: Solve for x
    x = 85,437.19/271.45
  6. Step 6: Final answer
    x = 314.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.