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Finding the Fourth Proportional to 153.90, 230.67 and 72.63

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Solution

The fourth proportional to 153.90, 230.67 and 72.63 is: 108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.90 : 230.67 = 72.63 : x
  2. Step 2: Convert to fraction form
    153.90/230.67 = 72.63/x
  3. Step 3: Cross multiply
    153.90x = 230.67 × 72.63
  4. Step 4: Simplify right side
    153.90x = 16,753.56
  5. Step 5: Solve for x
    x = 16,753.56/153.90
  6. Step 6: Final answer
    x = 108.86

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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.