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Finding the Fourth Proportional to 104.30, 144.08 and 73.30

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Solution

The fourth proportional to 104.30, 144.08 and 73.30 is: 101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.30 : 144.08 = 73.30 : x
  2. Step 2: Convert to fraction form
    104.30/144.08 = 73.30/x
  3. Step 3: Cross multiply
    104.30x = 144.08 × 73.30
  4. Step 4: Simplify right side
    104.30x = 10,561.06
  5. Step 5: Solve for x
    x = 10,561.06/104.30
  6. Step 6: Final answer
    x = 101.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.