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Finding the Fourth Proportional to 316.33, 438.23 and 308.77

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Solution

The fourth proportional to 316.33, 438.23 and 308.77 is: 427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.33 : 438.23 = 308.77 : x
  2. Step 2: Convert to fraction form
    316.33/438.23 = 308.77/x
  3. Step 3: Cross multiply
    316.33x = 438.23 × 308.77
  4. Step 4: Simplify right side
    316.33x = 135,312.28
  5. Step 5: Solve for x
    x = 135,312.28/316.33
  6. Step 6: Final answer
    x = 427.76

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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.