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Finding the Fourth Proportional to 173.10, 258.33 and 152.58

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Solution

The fourth proportional to 173.10, 258.33 and 152.58 is: 227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.10 : 258.33 = 152.58 : x
  2. Step 2: Convert to fraction form
    173.10/258.33 = 152.58/x
  3. Step 3: Cross multiply
    173.10x = 258.33 × 152.58
  4. Step 4: Simplify right side
    173.10x = 39,415.99
  5. Step 5: Solve for x
    x = 39,415.99/173.10
  6. Step 6: Final answer
    x = 227.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.