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Finding the Fourth Proportional to 92.90, 138.53 and 82.65

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Solution

The fourth proportional to 92.90, 138.53 and 82.65 is: 123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.90 : 138.53 = 82.65 : x
  2. Step 2: Convert to fraction form
    92.90/138.53 = 82.65/x
  3. Step 3: Cross multiply
    92.90x = 138.53 × 82.65
  4. Step 4: Simplify right side
    92.90x = 11,449.50
  5. Step 5: Solve for x
    x = 11,449.50/92.90
  6. Step 6: Final answer
    x = 123.25

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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.