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Finding the Fourth Proportional to 114.04, 169.97 and 89.56

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Solution

The fourth proportional to 114.04, 169.97 and 89.56 is: 133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.04 : 169.97 = 89.56 : x
  2. Step 2: Convert to fraction form
    114.04/169.97 = 89.56/x
  3. Step 3: Cross multiply
    114.04x = 169.97 × 89.56
  4. Step 4: Simplify right side
    114.04x = 15,222.51
  5. Step 5: Solve for x
    x = 15,222.51/114.04
  6. Step 6: Final answer
    x = 133.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.