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Finding the Fourth Proportional to 73.22, 100.40 and 70.64

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Solution

The fourth proportional to 73.22, 100.40 and 70.64 is: 96.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.22 : 100.40 = 70.64 : x
  2. Step 2: Convert to fraction form
    73.22/100.40 = 70.64/x
  3. Step 3: Cross multiply
    73.22x = 100.40 × 70.64
  4. Step 4: Simplify right side
    73.22x = 7,091.78
  5. Step 5: Solve for x
    x = 7,091.78/73.22
  6. Step 6: Final answer
    x = 96.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.