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Finding the Fourth Proportional to 172.95, 258.38 and 134.34

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Solution

The fourth proportional to 172.95, 258.38 and 134.34 is: 200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.95 : 258.38 = 134.34 : x
  2. Step 2: Convert to fraction form
    172.95/258.38 = 134.34/x
  3. Step 3: Cross multiply
    172.95x = 258.38 × 134.34
  4. Step 4: Simplify right side
    172.95x = 34,710.10
  5. Step 5: Solve for x
    x = 34,710.10/172.95
  6. Step 6: Final answer
    x = 200.69

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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.