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Finding the Fourth Proportional to 108.93, 150.33 and 77.85

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Solution

The fourth proportional to 108.93, 150.33 and 77.85 is: 107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.93 : 150.33 = 77.85 : x
  2. Step 2: Convert to fraction form
    108.93/150.33 = 77.85/x
  3. Step 3: Cross multiply
    108.93x = 150.33 × 77.85
  4. Step 4: Simplify right side
    108.93x = 11,703.19
  5. Step 5: Solve for x
    x = 11,703.19/108.93
  6. Step 6: Final answer
    x = 107.44

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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.