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Finding the Fourth Proportional to 172.35, 257.29 and 141.98

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Solution

The fourth proportional to 172.35, 257.29 and 141.98 is: 211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.35 : 257.29 = 141.98 : x
  2. Step 2: Convert to fraction form
    172.35/257.29 = 141.98/x
  3. Step 3: Cross multiply
    172.35x = 257.29 × 141.98
  4. Step 4: Simplify right side
    172.35x = 36,528.39
  5. Step 5: Solve for x
    x = 36,528.39/172.35
  6. Step 6: Final answer
    x = 211.94

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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.