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Finding the Fourth Proportional to 135.45, 203.09 and 70.34

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Solution

The fourth proportional to 135.45, 203.09 and 70.34 is: 105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.45 : 203.09 = 70.34 : x
  2. Step 2: Convert to fraction form
    135.45/203.09 = 70.34/x
  3. Step 3: Cross multiply
    135.45x = 203.09 × 70.34
  4. Step 4: Simplify right side
    135.45x = 14,283.98
  5. Step 5: Solve for x
    x = 14,283.98/135.45
  6. Step 6: Final answer
    x = 105.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.