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Finding the Fourth Proportional to 114.58, 170.62 and 113.21

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Solution

The fourth proportional to 114.58, 170.62 and 113.21 is: 168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.58 : 170.62 = 113.21 : x
  2. Step 2: Convert to fraction form
    114.58/170.62 = 113.21/x
  3. Step 3: Cross multiply
    114.58x = 170.62 × 113.21
  4. Step 4: Simplify right side
    114.58x = 19,315.89
  5. Step 5: Solve for x
    x = 19,315.89/114.58
  6. Step 6: Final answer
    x = 168.58

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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.