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Finding the Fourth Proportional to 178.73, 266.27 and 170.00

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Solution

The fourth proportional to 178.73, 266.27 and 170.00 is: 253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.73 : 266.27 = 170.00 : x
  2. Step 2: Convert to fraction form
    178.73/266.27 = 170.00/x
  3. Step 3: Cross multiply
    178.73x = 266.27 × 170.00
  4. Step 4: Simplify right side
    178.73x = 45,264.99
  5. Step 5: Solve for x
    x = 45,264.99/178.73
  6. Step 6: Final answer
    x = 253.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.