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Finding the Fourth Proportional to 172.98, 258.38 and 145.64

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Solution

The fourth proportional to 172.98, 258.38 and 145.64 is: 217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.98 : 258.38 = 145.64 : x
  2. Step 2: Convert to fraction form
    172.98/258.38 = 145.64/x
  3. Step 3: Cross multiply
    172.98x = 258.38 × 145.64
  4. Step 4: Simplify right side
    172.98x = 37,630.93
  5. Step 5: Solve for x
    x = 37,630.93/172.98
  6. Step 6: Final answer
    x = 217.54

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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.