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Finding the Fourth Proportional to 172.61, 258.57 and 103.92

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Solution

The fourth proportional to 172.61, 258.57 and 103.92 is: 155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.61 : 258.57 = 103.92 : x
  2. Step 2: Convert to fraction form
    172.61/258.57 = 103.92/x
  3. Step 3: Cross multiply
    172.61x = 258.57 × 103.92
  4. Step 4: Simplify right side
    172.61x = 26,870.72
  5. Step 5: Solve for x
    x = 26,870.72/172.61
  6. Step 6: Final answer
    x = 155.68

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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.