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Finding the Fourth Proportional to 163.02, 242.70 and 162.21

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Solution

The fourth proportional to 163.02, 242.70 and 162.21 is: 241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 242.70 = 162.21 : x
  2. Step 2: Convert to fraction form
    163.02/242.70 = 162.21/x
  3. Step 3: Cross multiply
    163.02x = 242.70 × 162.21
  4. Step 4: Simplify right side
    163.02x = 39,368.37
  5. Step 5: Solve for x
    x = 39,368.37/163.02
  6. Step 6: Final answer
    x = 241.49

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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.