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Finding the Fourth Proportional to 173.32, 258.80 and 146.28

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Solution

The fourth proportional to 173.32, 258.80 and 146.28 is: 218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.32 : 258.80 = 146.28 : x
  2. Step 2: Convert to fraction form
    173.32/258.80 = 146.28/x
  3. Step 3: Cross multiply
    173.32x = 258.80 × 146.28
  4. Step 4: Simplify right side
    173.32x = 37,857.26
  5. Step 5: Solve for x
    x = 37,857.26/173.32
  6. Step 6: Final answer
    x = 218.42

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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.