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Finding the Fourth Proportional to 75.20, 103.09 and 73.16

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Solution

The fourth proportional to 75.20, 103.09 and 73.16 is: 100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.20 : 103.09 = 73.16 : x
  2. Step 2: Convert to fraction form
    75.20/103.09 = 73.16/x
  3. Step 3: Cross multiply
    75.20x = 103.09 × 73.16
  4. Step 4: Simplify right side
    75.20x = 7,541.64
  5. Step 5: Solve for x
    x = 7,541.64/75.20
  6. Step 6: Final answer
    x = 100.29

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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.