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Finding the Fourth Proportional to 140.14, 192.85 and 128.49

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Solution

The fourth proportional to 140.14, 192.85 and 128.49 is: 176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.14 : 192.85 = 128.49 : x
  2. Step 2: Convert to fraction form
    140.14/192.85 = 128.49/x
  3. Step 3: Cross multiply
    140.14x = 192.85 × 128.49
  4. Step 4: Simplify right side
    140.14x = 24,779.30
  5. Step 5: Solve for x
    x = 24,779.30/140.14
  6. Step 6: Final answer
    x = 176.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.