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Finding the Fourth Proportional to 172.83, 257.73 and 146.71

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Solution

The fourth proportional to 172.83, 257.73 and 146.71 is: 218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.83 : 257.73 = 146.71 : x
  2. Step 2: Convert to fraction form
    172.83/257.73 = 146.71/x
  3. Step 3: Cross multiply
    172.83x = 257.73 × 146.71
  4. Step 4: Simplify right side
    172.83x = 37,812.17
  5. Step 5: Solve for x
    x = 37,812.17/172.83
  6. Step 6: Final answer
    x = 218.78

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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.