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Finding the Fourth Proportional to 110.99, 153.04 and 98.03

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Solution

The fourth proportional to 110.99, 153.04 and 98.03 is: 135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.99 : 153.04 = 98.03 : x
  2. Step 2: Convert to fraction form
    110.99/153.04 = 98.03/x
  3. Step 3: Cross multiply
    110.99x = 153.04 × 98.03
  4. Step 4: Simplify right side
    110.99x = 15,002.02
  5. Step 5: Solve for x
    x = 15,002.02/110.99
  6. Step 6: Final answer
    x = 135.17

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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.