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Finding the Fourth Proportional to 172.38, 258.31 and 135.91

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Solution

The fourth proportional to 172.38, 258.31 and 135.91 is: 203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.38 : 258.31 = 135.91 : x
  2. Step 2: Convert to fraction form
    172.38/258.31 = 135.91/x
  3. Step 3: Cross multiply
    172.38x = 258.31 × 135.91
  4. Step 4: Simplify right side
    172.38x = 35,106.51
  5. Step 5: Solve for x
    x = 35,106.51/172.38
  6. Step 6: Final answer
    x = 203.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.