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Finding the Fourth Proportional to 120.53, 180.80 and 35.03

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Solution

The fourth proportional to 120.53, 180.80 and 35.03 is: 52.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.53 : 180.80 = 35.03 : x
  2. Step 2: Convert to fraction form
    120.53/180.80 = 35.03/x
  3. Step 3: Cross multiply
    120.53x = 180.80 × 35.03
  4. Step 4: Simplify right side
    120.53x = 6,333.25
  5. Step 5: Solve for x
    x = 6,333.25/120.53
  6. Step 6: Final answer
    x = 52.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.