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Finding the Fourth Proportional to 163.45, 225.16 and 155.63

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Solution

The fourth proportional to 163.45, 225.16 and 155.63 is: 214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.45 : 225.16 = 155.63 : x
  2. Step 2: Convert to fraction form
    163.45/225.16 = 155.63/x
  3. Step 3: Cross multiply
    163.45x = 225.16 × 155.63
  4. Step 4: Simplify right side
    163.45x = 35,041.65
  5. Step 5: Solve for x
    x = 35,041.65/163.45
  6. Step 6: Final answer
    x = 214.39

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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.