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Finding the Fourth Proportional to 120.24, 181.26 and 99

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Solution

The fourth proportional to 120.24, 181.26 and 99 is: 149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 181.26 = 99 : x
  2. Step 2: Convert to fraction form
    120.24/181.26 = 99/x
  3. Step 3: Cross multiply
    120.24x = 181.26 × 99
  4. Step 4: Simplify right side
    120.24x = 17,944.74
  5. Step 5: Solve for x
    x = 17,944.74/120.24
  6. Step 6: Final answer
    x = 149.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.