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Finding the Fourth Proportional to 316.09, 438.04 and 311.68

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Solution

The fourth proportional to 316.09, 438.04 and 311.68 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.09 : 438.04 = 311.68 : x
  2. Step 2: Convert to fraction form
    316.09/438.04 = 311.68/x
  3. Step 3: Cross multiply
    316.09x = 438.04 × 311.68
  4. Step 4: Simplify right side
    316.09x = 136,528.31
  5. Step 5: Solve for x
    x = 136,528.31/316.09
  6. Step 6: Final answer
    x = 431.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.