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Finding the Fourth Proportional to 162.98, 245.08 and 138.68

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Solution

The fourth proportional to 162.98, 245.08 and 138.68 is: 208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.98 : 245.08 = 138.68 : x
  2. Step 2: Convert to fraction form
    162.98/245.08 = 138.68/x
  3. Step 3: Cross multiply
    162.98x = 245.08 × 138.68
  4. Step 4: Simplify right side
    162.98x = 33,987.69
  5. Step 5: Solve for x
    x = 33,987.69/162.98
  6. Step 6: Final answer
    x = 208.54

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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.