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Finding the Fourth Proportional to 147.82, 203.88 and 114.97

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Solution

The fourth proportional to 147.82, 203.88 and 114.97 is: 158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.82 : 203.88 = 114.97 : x
  2. Step 2: Convert to fraction form
    147.82/203.88 = 114.97/x
  3. Step 3: Cross multiply
    147.82x = 203.88 × 114.97
  4. Step 4: Simplify right side
    147.82x = 23,440.08
  5. Step 5: Solve for x
    x = 23,440.08/147.82
  6. Step 6: Final answer
    x = 158.57

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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.