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Finding the Fourth Proportional to 192.72, 289.16 and 135.06

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Solution

The fourth proportional to 192.72, 289.16 and 135.06 is: 202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 289.16 = 135.06 : x
  2. Step 2: Convert to fraction form
    192.72/289.16 = 135.06/x
  3. Step 3: Cross multiply
    192.72x = 289.16 × 135.06
  4. Step 4: Simplify right side
    192.72x = 39,053.27
  5. Step 5: Solve for x
    x = 39,053.27/192.72
  6. Step 6: Final answer
    x = 202.64

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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.