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Finding the Fourth Proportional to 316.78, 476.30 and 276.46

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Solution

The fourth proportional to 316.78, 476.30 and 276.46 is: 415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.78 : 476.30 = 276.46 : x
  2. Step 2: Convert to fraction form
    316.78/476.30 = 276.46/x
  3. Step 3: Cross multiply
    316.78x = 476.30 × 276.46
  4. Step 4: Simplify right side
    316.78x = 131,675.52
  5. Step 5: Solve for x
    x = 131,675.52/316.78
  6. Step 6: Final answer
    x = 415.67

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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.