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Finding the Fourth Proportional to 315.96, 436.26 and 237.34

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Solution

The fourth proportional to 315.96, 436.26 and 237.34 is: 327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 436.26 = 237.34 : x
  2. Step 2: Convert to fraction form
    315.96/436.26 = 237.34/x
  3. Step 3: Cross multiply
    315.96x = 436.26 × 237.34
  4. Step 4: Simplify right side
    315.96x = 103,541.95
  5. Step 5: Solve for x
    x = 103,541.95/315.96
  6. Step 6: Final answer
    x = 327.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.