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Finding the Fourth Proportional to 128.15, 191.23 and 114.35

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Solution

The fourth proportional to 128.15, 191.23 and 114.35 is: 170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.15 : 191.23 = 114.35 : x
  2. Step 2: Convert to fraction form
    128.15/191.23 = 114.35/x
  3. Step 3: Cross multiply
    128.15x = 191.23 × 114.35
  4. Step 4: Simplify right side
    128.15x = 21,866.35
  5. Step 5: Solve for x
    x = 21,866.35/128.15
  6. Step 6: Final answer
    x = 170.63

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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.