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Finding the Fourth Proportional to 128.02, 191.04 and 114.35

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Solution

The fourth proportional to 128.02, 191.04 and 114.35 is: 170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.02 : 191.04 = 114.35 : x
  2. Step 2: Convert to fraction form
    128.02/191.04 = 114.35/x
  3. Step 3: Cross multiply
    128.02x = 191.04 × 114.35
  4. Step 4: Simplify right side
    128.02x = 21,845.42
  5. Step 5: Solve for x
    x = 21,845.42/128.02
  6. Step 6: Final answer
    x = 170.64

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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.