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Finding the Fourth Proportional to 147.46, 203.55 and 112.49

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Solution

The fourth proportional to 147.46, 203.55 and 112.49 is: 155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.46 : 203.55 = 112.49 : x
  2. Step 2: Convert to fraction form
    147.46/203.55 = 112.49/x
  3. Step 3: Cross multiply
    147.46x = 203.55 × 112.49
  4. Step 4: Simplify right side
    147.46x = 22,896.32
  5. Step 5: Solve for x
    x = 22,896.32/147.46
  6. Step 6: Final answer
    x = 155.27

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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.