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Finding the Fourth Proportional to 172.43, 259.81 and 142.66

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Solution

The fourth proportional to 172.43, 259.81 and 142.66 is: 214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.43 : 259.81 = 142.66 : x
  2. Step 2: Convert to fraction form
    172.43/259.81 = 142.66/x
  3. Step 3: Cross multiply
    172.43x = 259.81 × 142.66
  4. Step 4: Simplify right side
    172.43x = 37,064.49
  5. Step 5: Solve for x
    x = 37,064.49/172.43
  6. Step 6: Final answer
    x = 214.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.