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Finding the Fourth Proportional to 172.84, 257.15 and 166.16

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Solution

The fourth proportional to 172.84, 257.15 and 166.16 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.84 : 257.15 = 166.16 : x
  2. Step 2: Convert to fraction form
    172.84/257.15 = 166.16/x
  3. Step 3: Cross multiply
    172.84x = 257.15 × 166.16
  4. Step 4: Simplify right side
    172.84x = 42,727.21
  5. Step 5: Solve for x
    x = 42,727.21/172.84
  6. Step 6: Final answer
    x = 247.21

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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.