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Finding the Fourth Proportional to 316.70, 434.40 and 311.54

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Solution

The fourth proportional to 316.70, 434.40 and 311.54 is: 427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.70 : 434.40 = 311.54 : x
  2. Step 2: Convert to fraction form
    316.70/434.40 = 311.54/x
  3. Step 3: Cross multiply
    316.70x = 434.40 × 311.54
  4. Step 4: Simplify right side
    316.70x = 135,330.80
  5. Step 5: Solve for x
    x = 135,330.80/316.70
  6. Step 6: Final answer
    x = 427.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.