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Finding the Fourth Proportional to 180.25, 268.66 and 170.00

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Solution

The fourth proportional to 180.25, 268.66 and 170.00 is: 253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.25 : 268.66 = 170.00 : x
  2. Step 2: Convert to fraction form
    180.25/268.66 = 170.00/x
  3. Step 3: Cross multiply
    180.25x = 268.66 × 170.00
  4. Step 4: Simplify right side
    180.25x = 45,670.01
  5. Step 5: Solve for x
    x = 45,670.01/180.25
  6. Step 6: Final answer
    x = 253.38

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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.