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Finding the Fourth Proportional to 178.98, 268.20 and 142.98

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Solution

The fourth proportional to 178.98, 268.20 and 142.98 is: 214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.98 : 268.20 = 142.98 : x
  2. Step 2: Convert to fraction form
    178.98/268.20 = 142.98/x
  3. Step 3: Cross multiply
    178.98x = 268.20 × 142.98
  4. Step 4: Simplify right side
    178.98x = 38,347.24
  5. Step 5: Solve for x
    x = 38,347.24/178.98
  6. Step 6: Final answer
    x = 214.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.