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Finding the Fourth Proportional to 192.70, 289.08 and 90.02

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Solution

The fourth proportional to 192.70, 289.08 and 90.02 is: 135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.70 : 289.08 = 90.02 : x
  2. Step 2: Convert to fraction form
    192.70/289.08 = 90.02/x
  3. Step 3: Cross multiply
    192.70x = 289.08 × 90.02
  4. Step 4: Simplify right side
    192.70x = 26,022.98
  5. Step 5: Solve for x
    x = 26,022.98/192.70
  6. Step 6: Final answer
    x = 135.04

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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.