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Finding the Fourth Proportional to 172.18, 256.82 and 160.84

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Solution

The fourth proportional to 172.18, 256.82 and 160.84 is: 239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.18 : 256.82 = 160.84 : x
  2. Step 2: Convert to fraction form
    172.18/256.82 = 160.84/x
  3. Step 3: Cross multiply
    172.18x = 256.82 × 160.84
  4. Step 4: Simplify right side
    172.18x = 41,306.93
  5. Step 5: Solve for x
    x = 41,306.93/172.18
  6. Step 6: Final answer
    x = 239.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.