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Finding the Fourth Proportional to 242.58, 334.65 and 163.80

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Solution

The fourth proportional to 242.58, 334.65 and 163.80 is: 225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.58 : 334.65 = 163.80 : x
  2. Step 2: Convert to fraction form
    242.58/334.65 = 163.80/x
  3. Step 3: Cross multiply
    242.58x = 334.65 × 163.80
  4. Step 4: Simplify right side
    242.58x = 54,816.28
  5. Step 5: Solve for x
    x = 54,816.28/242.58
  6. Step 6: Final answer
    x = 225.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.