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Finding the Fourth Proportional to 228.20, 314.70 and 149.43

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Solution

The fourth proportional to 228.20, 314.70 and 149.43 is: 206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.20 : 314.70 = 149.43 : x
  2. Step 2: Convert to fraction form
    228.20/314.70 = 149.43/x
  3. Step 3: Cross multiply
    228.20x = 314.70 × 149.43
  4. Step 4: Simplify right side
    228.20x = 47,024.05
  5. Step 5: Solve for x
    x = 47,024.05/228.20
  6. Step 6: Final answer
    x = 206.07

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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.