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Finding the Fourth Proportional to 97.90, 135.05 and 77.11

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Solution

The fourth proportional to 97.90, 135.05 and 77.11 is: 106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.90 : 135.05 = 77.11 : x
  2. Step 2: Convert to fraction form
    97.90/135.05 = 77.11/x
  3. Step 3: Cross multiply
    97.90x = 135.05 × 77.11
  4. Step 4: Simplify right side
    97.90x = 10,413.71
  5. Step 5: Solve for x
    x = 10,413.71/97.90
  6. Step 6: Final answer
    x = 106.37

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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.