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Finding the Fourth Proportional to 227.07, 313.12 and 148.46

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Solution

The fourth proportional to 227.07, 313.12 and 148.46 is: 204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.07 : 313.12 = 148.46 : x
  2. Step 2: Convert to fraction form
    227.07/313.12 = 148.46/x
  3. Step 3: Cross multiply
    227.07x = 313.12 × 148.46
  4. Step 4: Simplify right side
    227.07x = 46,485.80
  5. Step 5: Solve for x
    x = 46,485.80/227.07
  6. Step 6: Final answer
    x = 204.72

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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.