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Finding the Fourth Proportional to 243.96, 336.50 and 185.64

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Solution

The fourth proportional to 243.96, 336.50 and 185.64 is: 256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.96 : 336.50 = 185.64 : x
  2. Step 2: Convert to fraction form
    243.96/336.50 = 185.64/x
  3. Step 3: Cross multiply
    243.96x = 336.50 × 185.64
  4. Step 4: Simplify right side
    243.96x = 62,467.86
  5. Step 5: Solve for x
    x = 62,467.86/243.96
  6. Step 6: Final answer
    x = 256.06

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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.