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Finding the Fourth Proportional to 114.49, 170.77 and 111.07

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Solution

The fourth proportional to 114.49, 170.77 and 111.07 is: 165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.49 : 170.77 = 111.07 : x
  2. Step 2: Convert to fraction form
    114.49/170.77 = 111.07/x
  3. Step 3: Cross multiply
    114.49x = 170.77 × 111.07
  4. Step 4: Simplify right side
    114.49x = 18,967.42
  5. Step 5: Solve for x
    x = 18,967.42/114.49
  6. Step 6: Final answer
    x = 165.67

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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.