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Finding the Fourth Proportional to 164.59, 246.65 and 120.91

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Solution

The fourth proportional to 164.59, 246.65 and 120.91 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.59 : 246.65 = 120.91 : x
  2. Step 2: Convert to fraction form
    164.59/246.65 = 120.91/x
  3. Step 3: Cross multiply
    164.59x = 246.65 × 120.91
  4. Step 4: Simplify right side
    164.59x = 29,822.23
  5. Step 5: Solve for x
    x = 29,822.23/164.59
  6. Step 6: Final answer
    x = 181.19

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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.