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Finding the Fourth Proportional to 111.65, 153.90 and 102.33

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Solution

The fourth proportional to 111.65, 153.90 and 102.33 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.65 : 153.90 = 102.33 : x
  2. Step 2: Convert to fraction form
    111.65/153.90 = 102.33/x
  3. Step 3: Cross multiply
    111.65x = 153.90 × 102.33
  4. Step 4: Simplify right side
    111.65x = 15,748.59
  5. Step 5: Solve for x
    x = 15,748.59/111.65
  6. Step 6: Final answer
    x = 141.06

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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.