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Finding the Fourth Proportional to 163.02, 245.24 and 135.68

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Solution

The fourth proportional to 163.02, 245.24 and 135.68 is: 204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 245.24 = 135.68 : x
  2. Step 2: Convert to fraction form
    163.02/245.24 = 135.68/x
  3. Step 3: Cross multiply
    163.02x = 245.24 × 135.68
  4. Step 4: Simplify right side
    163.02x = 33,274.16
  5. Step 5: Solve for x
    x = 33,274.16/163.02
  6. Step 6: Final answer
    x = 204.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.