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Finding the Fourth Proportional to 163.09, 242.88 and 156.07

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Solution

The fourth proportional to 163.09, 242.88 and 156.07 is: 232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.09 : 242.88 = 156.07 : x
  2. Step 2: Convert to fraction form
    163.09/242.88 = 156.07/x
  3. Step 3: Cross multiply
    163.09x = 242.88 × 156.07
  4. Step 4: Simplify right side
    163.09x = 37,906.28
  5. Step 5: Solve for x
    x = 37,906.28/163.09
  6. Step 6: Final answer
    x = 232.43

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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.