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Finding the Fourth Proportional to 173.20, 258.80 and 151.24

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Solution

The fourth proportional to 173.20, 258.80 and 151.24 is: 225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.20 : 258.80 = 151.24 : x
  2. Step 2: Convert to fraction form
    173.20/258.80 = 151.24/x
  3. Step 3: Cross multiply
    173.20x = 258.80 × 151.24
  4. Step 4: Simplify right side
    173.20x = 39,140.91
  5. Step 5: Solve for x
    x = 39,140.91/173.20
  6. Step 6: Final answer
    x = 225.99

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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.