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Finding the Fourth Proportional to 227.47, 313.95 and 144.51

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Solution

The fourth proportional to 227.47, 313.95 and 144.51 is: 199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.47 : 313.95 = 144.51 : x
  2. Step 2: Convert to fraction form
    227.47/313.95 = 144.51/x
  3. Step 3: Cross multiply
    227.47x = 313.95 × 144.51
  4. Step 4: Simplify right side
    227.47x = 45,367.34
  5. Step 5: Solve for x
    x = 45,367.34/227.47
  6. Step 6: Final answer
    x = 199.45

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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.