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Finding the Fourth Proportional to 162.80, 242.21 and 162.26

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Solution

The fourth proportional to 162.80, 242.21 and 162.26 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.80 : 242.21 = 162.26 : x
  2. Step 2: Convert to fraction form
    162.80/242.21 = 162.26/x
  3. Step 3: Cross multiply
    162.80x = 242.21 × 162.26
  4. Step 4: Simplify right side
    162.80x = 39,300.99
  5. Step 5: Solve for x
    x = 39,300.99/162.80
  6. Step 6: Final answer
    x = 241.41

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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.