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Finding the Fourth Proportional to 74.39, 103.34 and 73.64

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Solution

The fourth proportional to 74.39, 103.34 and 73.64 is: 102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.39 : 103.34 = 73.64 : x
  2. Step 2: Convert to fraction form
    74.39/103.34 = 73.64/x
  3. Step 3: Cross multiply
    74.39x = 103.34 × 73.64
  4. Step 4: Simplify right side
    74.39x = 7,610.40
  5. Step 5: Solve for x
    x = 7,610.40/74.39
  6. Step 6: Final answer
    x = 102.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.