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Finding the Fourth Proportional to 140.76, 210.99 and 82.93

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Solution

The fourth proportional to 140.76, 210.99 and 82.93 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 210.99 = 82.93 : x
  2. Step 2: Convert to fraction form
    140.76/210.99 = 82.93/x
  3. Step 3: Cross multiply
    140.76x = 210.99 × 82.93
  4. Step 4: Simplify right side
    140.76x = 17,497.40
  5. Step 5: Solve for x
    x = 17,497.40/140.76
  6. Step 6: Final answer
    x = 124.31

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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.