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Finding the Fourth Proportional to 128.24, 177.16 and 103.84

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Solution

The fourth proportional to 128.24, 177.16 and 103.84 is: 143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.24 : 177.16 = 103.84 : x
  2. Step 2: Convert to fraction form
    128.24/177.16 = 103.84/x
  3. Step 3: Cross multiply
    128.24x = 177.16 × 103.84
  4. Step 4: Simplify right side
    128.24x = 18,396.29
  5. Step 5: Solve for x
    x = 18,396.29/128.24
  6. Step 6: Final answer
    x = 143.45

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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.