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Finding the Fourth Proportional to 228.69, 315.36 and 149.85

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Solution

The fourth proportional to 228.69, 315.36 and 149.85 is: 206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.69 : 315.36 = 149.85 : x
  2. Step 2: Convert to fraction form
    228.69/315.36 = 149.85/x
  3. Step 3: Cross multiply
    228.69x = 315.36 × 149.85
  4. Step 4: Simplify right side
    228.69x = 47,256.70
  5. Step 5: Solve for x
    x = 47,256.70/228.69
  6. Step 6: Final answer
    x = 206.64

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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.