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Finding the Fourth Proportional to 173.40, 258.69 and 172.17

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Solution

The fourth proportional to 173.40, 258.69 and 172.17 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.40 : 258.69 = 172.17 : x
  2. Step 2: Convert to fraction form
    173.40/258.69 = 172.17/x
  3. Step 3: Cross multiply
    173.40x = 258.69 × 172.17
  4. Step 4: Simplify right side
    173.40x = 44,538.66
  5. Step 5: Solve for x
    x = 44,538.66/173.40
  6. Step 6: Final answer
    x = 256.86

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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.