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Finding the Fourth Proportional to 114.03, 170.00 and 105.39

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Solution

The fourth proportional to 114.03, 170.00 and 105.39 is: 157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.03 : 170.00 = 105.39 : x
  2. Step 2: Convert to fraction form
    114.03/170.00 = 105.39/x
  3. Step 3: Cross multiply
    114.03x = 170.00 × 105.39
  4. Step 4: Simplify right side
    114.03x = 17,915.77
  5. Step 5: Solve for x
    x = 17,915.77/114.03
  6. Step 6: Final answer
    x = 157.11

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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.