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Finding the Fourth Proportional to 128.01, 176.20 and 107.06

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Solution

The fourth proportional to 128.01, 176.20 and 107.06 is: 147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.01 : 176.20 = 107.06 : x
  2. Step 2: Convert to fraction form
    128.01/176.20 = 107.06/x
  3. Step 3: Cross multiply
    128.01x = 176.20 × 107.06
  4. Step 4: Simplify right side
    128.01x = 18,862.56
  5. Step 5: Solve for x
    x = 18,862.56/128.01
  6. Step 6: Final answer
    x = 147.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.