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Finding the Fourth Proportional to 316.90, 471.60 and 313.66

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Solution

The fourth proportional to 316.90, 471.60 and 313.66 is: 466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.90 : 471.60 = 313.66 : x
  2. Step 2: Convert to fraction form
    316.90/471.60 = 313.66/x
  3. Step 3: Cross multiply
    316.90x = 471.60 × 313.66
  4. Step 4: Simplify right side
    316.90x = 147,922.06
  5. Step 5: Solve for x
    x = 147,922.06/316.90
  6. Step 6: Final answer
    x = 466.78

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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.