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Finding the Fourth Proportional to 312.40, 468.06 and 271.56

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Solution

The fourth proportional to 312.40, 468.06 and 271.56 is: 406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.40 : 468.06 = 271.56 : x
  2. Step 2: Convert to fraction form
    312.40/468.06 = 271.56/x
  3. Step 3: Cross multiply
    312.40x = 468.06 × 271.56
  4. Step 4: Simplify right side
    312.40x = 127,106.37
  5. Step 5: Solve for x
    x = 127,106.37/312.40
  6. Step 6: Final answer
    x = 406.87

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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.