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Finding the Fourth Proportional to 147.42, 203.36 and 98.26

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Solution

The fourth proportional to 147.42, 203.36 and 98.26 is: 135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 203.36 = 98.26 : x
  2. Step 2: Convert to fraction form
    147.42/203.36 = 98.26/x
  3. Step 3: Cross multiply
    147.42x = 203.36 × 98.26
  4. Step 4: Simplify right side
    147.42x = 19,982.85
  5. Step 5: Solve for x
    x = 19,982.85/147.42
  6. Step 6: Final answer
    x = 135.55

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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.