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Finding the Fourth Proportional to 192.30, 287.39 and 140.59

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Solution

The fourth proportional to 192.30, 287.39 and 140.59 is: 210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.30 : 287.39 = 140.59 : x
  2. Step 2: Convert to fraction form
    192.30/287.39 = 140.59/x
  3. Step 3: Cross multiply
    192.30x = 287.39 × 140.59
  4. Step 4: Simplify right side
    192.30x = 40,404.16
  5. Step 5: Solve for x
    x = 40,404.16/192.30
  6. Step 6: Final answer
    x = 210.11

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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.