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Finding the Fourth Proportional to 180.84, 272.07 and 164.91

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Solution

The fourth proportional to 180.84, 272.07 and 164.91 is: 248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.84 : 272.07 = 164.91 : x
  2. Step 2: Convert to fraction form
    180.84/272.07 = 164.91/x
  3. Step 3: Cross multiply
    180.84x = 272.07 × 164.91
  4. Step 4: Simplify right side
    180.84x = 44,867.06
  5. Step 5: Solve for x
    x = 44,867.06/180.84
  6. Step 6: Final answer
    x = 248.10

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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.