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Finding the Fourth Proportional to 162.98, 244.20 and 142.46

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Solution

The fourth proportional to 162.98, 244.20 and 142.46 is: 213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.98 : 244.20 = 142.46 : x
  2. Step 2: Convert to fraction form
    162.98/244.20 = 142.46/x
  3. Step 3: Cross multiply
    162.98x = 244.20 × 142.46
  4. Step 4: Simplify right side
    162.98x = 34,788.73
  5. Step 5: Solve for x
    x = 34,788.73/162.98
  6. Step 6: Final answer
    x = 213.45

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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.