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Finding the Fourth Proportional to 74.49, 102.21 and 73.79

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Solution

The fourth proportional to 74.49, 102.21 and 73.79 is: 101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.49 : 102.21 = 73.79 : x
  2. Step 2: Convert to fraction form
    74.49/102.21 = 73.79/x
  3. Step 3: Cross multiply
    74.49x = 102.21 × 73.79
  4. Step 4: Simplify right side
    74.49x = 7,541.56
  5. Step 5: Solve for x
    x = 7,541.56/74.49
  6. Step 6: Final answer
    x = 101.24

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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.