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Finding the Fourth Proportional to 108.30, 149.50 and 73.35

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Solution

The fourth proportional to 108.30, 149.50 and 73.35 is: 101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.30 : 149.50 = 73.35 : x
  2. Step 2: Convert to fraction form
    108.30/149.50 = 73.35/x
  3. Step 3: Cross multiply
    108.30x = 149.50 × 73.35
  4. Step 4: Simplify right side
    108.30x = 10,965.83
  5. Step 5: Solve for x
    x = 10,965.83/108.30
  6. Step 6: Final answer
    x = 101.25

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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.