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Finding the Fourth Proportional to 228.45, 315.06 and 193.56

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Solution

The fourth proportional to 228.45, 315.06 and 193.56 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.45 : 315.06 = 193.56 : x
  2. Step 2: Convert to fraction form
    228.45/315.06 = 193.56/x
  3. Step 3: Cross multiply
    228.45x = 315.06 × 193.56
  4. Step 4: Simplify right side
    228.45x = 60,985.40
  5. Step 5: Solve for x
    x = 60,985.40/228.45
  6. Step 6: Final answer
    x = 266.96

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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.