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Finding the Fourth Proportional to 153.60, 230.08 and 125.44

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Solution

The fourth proportional to 153.60, 230.08 and 125.44 is: 187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.60 : 230.08 = 125.44 : x
  2. Step 2: Convert to fraction form
    153.60/230.08 = 125.44/x
  3. Step 3: Cross multiply
    153.60x = 230.08 × 125.44
  4. Step 4: Simplify right side
    153.60x = 28,861.24
  5. Step 5: Solve for x
    x = 28,861.24/153.60
  6. Step 6: Final answer
    x = 187.90

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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.