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Finding the Fourth Proportional to 243.76, 336.86 and 184.70

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Solution

The fourth proportional to 243.76, 336.86 and 184.70 is: 255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.76 : 336.86 = 184.70 : x
  2. Step 2: Convert to fraction form
    243.76/336.86 = 184.70/x
  3. Step 3: Cross multiply
    243.76x = 336.86 × 184.70
  4. Step 4: Simplify right side
    243.76x = 62,219.35
  5. Step 5: Solve for x
    x = 62,219.35/243.76
  6. Step 6: Final answer
    x = 255.25

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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.