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Finding the Fourth Proportional to 147.75, 203.81 and 97.90

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Solution

The fourth proportional to 147.75, 203.81 and 97.90 is: 135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.75 : 203.81 = 97.90 : x
  2. Step 2: Convert to fraction form
    147.75/203.81 = 97.90/x
  3. Step 3: Cross multiply
    147.75x = 203.81 × 97.90
  4. Step 4: Simplify right side
    147.75x = 19,953.00
  5. Step 5: Solve for x
    x = 19,953.00/147.75
  6. Step 6: Final answer
    x = 135.05

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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.