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Finding the Fourth Proportional to 192.07, 288.02 and 89.39

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Solution

The fourth proportional to 192.07, 288.02 and 89.39 is: 134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.07 : 288.02 = 89.39 : x
  2. Step 2: Convert to fraction form
    192.07/288.02 = 89.39/x
  3. Step 3: Cross multiply
    192.07x = 288.02 × 89.39
  4. Step 4: Simplify right side
    192.07x = 25,746.11
  5. Step 5: Solve for x
    x = 25,746.11/192.07
  6. Step 6: Final answer
    x = 134.05

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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.