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Finding the Fourth Proportional to 313.86, 433.06 and 243.80

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Solution

The fourth proportional to 313.86, 433.06 and 243.80 is: 336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.86 : 433.06 = 243.80 : x
  2. Step 2: Convert to fraction form
    313.86/433.06 = 243.80/x
  3. Step 3: Cross multiply
    313.86x = 433.06 × 243.80
  4. Step 4: Simplify right side
    313.86x = 105,580.03
  5. Step 5: Solve for x
    x = 105,580.03/313.86
  6. Step 6: Final answer
    x = 336.39

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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.