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Finding the Fourth Proportional to 173.26, 258.61 and 158.83

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Solution

The fourth proportional to 173.26, 258.61 and 158.83 is: 237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.26 : 258.61 = 158.83 : x
  2. Step 2: Convert to fraction form
    173.26/258.61 = 158.83/x
  3. Step 3: Cross multiply
    173.26x = 258.61 × 158.83
  4. Step 4: Simplify right side
    173.26x = 41,075.42
  5. Step 5: Solve for x
    x = 41,075.42/173.26
  6. Step 6: Final answer
    x = 237.07

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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.