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Finding the Fourth Proportional to 162.07, 223.50 and 120.58

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Solution

The fourth proportional to 162.07, 223.50 and 120.58 is: 166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.07 : 223.50 = 120.58 : x
  2. Step 2: Convert to fraction form
    162.07/223.50 = 120.58/x
  3. Step 3: Cross multiply
    162.07x = 223.50 × 120.58
  4. Step 4: Simplify right side
    162.07x = 26,949.63
  5. Step 5: Solve for x
    x = 26,949.63/162.07
  6. Step 6: Final answer
    x = 166.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.