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Finding the Fourth Proportional to 172.70, 260.24 and 142.93

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Solution

The fourth proportional to 172.70, 260.24 and 142.93 is: 215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.70 : 260.24 = 142.93 : x
  2. Step 2: Convert to fraction form
    172.70/260.24 = 142.93/x
  3. Step 3: Cross multiply
    172.70x = 260.24 × 142.93
  4. Step 4: Simplify right side
    172.70x = 37,195.39
  5. Step 5: Solve for x
    x = 37,195.39/172.70
  6. Step 6: Final answer
    x = 215.38

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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.