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Finding the Fourth Proportional to 140.07, 193.21 and 84.83

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Solution

The fourth proportional to 140.07, 193.21 and 84.83 is: 117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.07 : 193.21 = 84.83 : x
  2. Step 2: Convert to fraction form
    140.07/193.21 = 84.83/x
  3. Step 3: Cross multiply
    140.07x = 193.21 × 84.83
  4. Step 4: Simplify right side
    140.07x = 16,390.00
  5. Step 5: Solve for x
    x = 16,390.00/140.07
  6. Step 6: Final answer
    x = 117.01

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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.