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Finding the Fourth Proportional to 178.58, 268.05 and 130.17

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Solution

The fourth proportional to 178.58, 268.05 and 130.17 is: 195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.58 : 268.05 = 130.17 : x
  2. Step 2: Convert to fraction form
    178.58/268.05 = 130.17/x
  3. Step 3: Cross multiply
    178.58x = 268.05 × 130.17
  4. Step 4: Simplify right side
    178.58x = 34,892.07
  5. Step 5: Solve for x
    x = 34,892.07/178.58
  6. Step 6: Final answer
    x = 195.39

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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.