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Finding the Fourth Proportional to 172.84, 257.90 and 171.83

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Solution

The fourth proportional to 172.84, 257.90 and 171.83 is: 256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.84 : 257.90 = 171.83 : x
  2. Step 2: Convert to fraction form
    172.84/257.90 = 171.83/x
  3. Step 3: Cross multiply
    172.84x = 257.90 × 171.83
  4. Step 4: Simplify right side
    172.84x = 44,314.10
  5. Step 5: Solve for x
    x = 44,314.10/172.84
  6. Step 6: Final answer
    x = 256.39

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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.