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Finding the Fourth Proportional to 128.22, 192.38 and 56.08

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Solution

The fourth proportional to 128.22, 192.38 and 56.08 is: 84.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.22 : 192.38 = 56.08 : x
  2. Step 2: Convert to fraction form
    128.22/192.38 = 56.08/x
  3. Step 3: Cross multiply
    128.22x = 192.38 × 56.08
  4. Step 4: Simplify right side
    128.22x = 10,788.67
  5. Step 5: Solve for x
    x = 10,788.67/128.22
  6. Step 6: Final answer
    x = 84.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.