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Finding the Fourth Proportional to 316.78, 471.59 and 313.27

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Solution

The fourth proportional to 316.78, 471.59 and 313.27 is: 466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.78 : 471.59 = 313.27 : x
  2. Step 2: Convert to fraction form
    316.78/471.59 = 313.27/x
  3. Step 3: Cross multiply
    316.78x = 471.59 × 313.27
  4. Step 4: Simplify right side
    316.78x = 147,733.43
  5. Step 5: Solve for x
    x = 147,733.43/316.78
  6. Step 6: Final answer
    x = 466.36

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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.