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Finding the Fourth Proportional to 316.46, 438.41 and 308.90

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Solution

The fourth proportional to 316.46, 438.41 and 308.90 is: 427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.46 : 438.41 = 308.90 : x
  2. Step 2: Convert to fraction form
    316.46/438.41 = 308.90/x
  3. Step 3: Cross multiply
    316.46x = 438.41 × 308.90
  4. Step 4: Simplify right side
    316.46x = 135,421.11
  5. Step 5: Solve for x
    x = 135,421.11/316.46
  6. Step 6: Final answer
    x = 427.93

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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.