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Finding the Fourth Proportional to 128.11, 176.63 and 104.77

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Solution

The fourth proportional to 128.11, 176.63 and 104.77 is: 144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.11 : 176.63 = 104.77 : x
  2. Step 2: Convert to fraction form
    128.11/176.63 = 104.77/x
  3. Step 3: Cross multiply
    128.11x = 176.63 × 104.77
  4. Step 4: Simplify right side
    128.11x = 18,505.53
  5. Step 5: Solve for x
    x = 18,505.53/128.11
  6. Step 6: Final answer
    x = 144.45

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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.