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Finding the Fourth Proportional to 128.98, 192.64 and 108.52

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Solution

The fourth proportional to 128.98, 192.64 and 108.52 is: 162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.98 : 192.64 = 108.52 : x
  2. Step 2: Convert to fraction form
    128.98/192.64 = 108.52/x
  3. Step 3: Cross multiply
    128.98x = 192.64 × 108.52
  4. Step 4: Simplify right side
    128.98x = 20,905.29
  5. Step 5: Solve for x
    x = 20,905.29/128.98
  6. Step 6: Final answer
    x = 162.08

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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.