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Finding the Fourth Proportional to 192.86, 289.24 and 90.05

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Solution

The fourth proportional to 192.86, 289.24 and 90.05 is: 135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.86 : 289.24 = 90.05 : x
  2. Step 2: Convert to fraction form
    192.86/289.24 = 90.05/x
  3. Step 3: Cross multiply
    192.86x = 289.24 × 90.05
  4. Step 4: Simplify right side
    192.86x = 26,044.17
  5. Step 5: Solve for x
    x = 26,044.17/192.86
  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.