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Finding the Fourth Proportional to 179.74, 268.32 and 164.35

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Solution

The fourth proportional to 179.74, 268.32 and 164.35 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.74 : 268.32 = 164.35 : x
  2. Step 2: Convert to fraction form
    179.74/268.32 = 164.35/x
  3. Step 3: Cross multiply
    179.74x = 268.32 × 164.35
  4. Step 4: Simplify right side
    179.74x = 44,096.23
  5. Step 5: Solve for x
    x = 44,096.23/179.74
  6. Step 6: Final answer
    x = 245.34

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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.