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Finding the Fourth Proportional to 173.07, 258.46 and 152.55

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Solution

The fourth proportional to 173.07, 258.46 and 152.55 is: 227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.07 : 258.46 = 152.55 : x
  2. Step 2: Convert to fraction form
    173.07/258.46 = 152.55/x
  3. Step 3: Cross multiply
    173.07x = 258.46 × 152.55
  4. Step 4: Simplify right side
    173.07x = 39,427.69
  5. Step 5: Solve for x
    x = 39,427.69/173.07
  6. Step 6: Final answer
    x = 227.81

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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.