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Finding the Fourth Proportional to 111.38, 153.51 and 89.51

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Solution

The fourth proportional to 111.38, 153.51 and 89.51 is: 123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.38 : 153.51 = 89.51 : x
  2. Step 2: Convert to fraction form
    111.38/153.51 = 89.51/x
  3. Step 3: Cross multiply
    111.38x = 153.51 × 89.51
  4. Step 4: Simplify right side
    111.38x = 13,740.68
  5. Step 5: Solve for x
    x = 13,740.68/111.38
  6. Step 6: Final answer
    x = 123.37

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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.