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Finding the Fourth Proportional to 316.85, 472.99 and 270.37

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Solution

The fourth proportional to 316.85, 472.99 and 270.37 is: 403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.85 : 472.99 = 270.37 : x
  2. Step 2: Convert to fraction form
    316.85/472.99 = 270.37/x
  3. Step 3: Cross multiply
    316.85x = 472.99 × 270.37
  4. Step 4: Simplify right side
    316.85x = 127,884.12
  5. Step 5: Solve for x
    x = 127,884.12/316.85
  6. Step 6: Final answer
    x = 403.61

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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.