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Finding the Fourth Proportional to 155.04, 233.43 and 107.25

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Solution

The fourth proportional to 155.04, 233.43 and 107.25 is: 161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.04 : 233.43 = 107.25 : x
  2. Step 2: Convert to fraction form
    155.04/233.43 = 107.25/x
  3. Step 3: Cross multiply
    155.04x = 233.43 × 107.25
  4. Step 4: Simplify right side
    155.04x = 25,035.37
  5. Step 5: Solve for x
    x = 25,035.37/155.04
  6. Step 6: Final answer
    x = 161.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.