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Finding the Fourth Proportional to 312.88, 471.19 and 276.67

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Solution

The fourth proportional to 312.88, 471.19 and 276.67 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.88 : 471.19 = 276.67 : x
  2. Step 2: Convert to fraction form
    312.88/471.19 = 276.67/x
  3. Step 3: Cross multiply
    312.88x = 471.19 × 276.67
  4. Step 4: Simplify right side
    312.88x = 130,364.14
  5. Step 5: Solve for x
    x = 130,364.14/312.88
  6. Step 6: Final answer
    x = 416.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.