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Finding the Fourth Proportional to 115.41, 172.86 and 57.54

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Solution

The fourth proportional to 115.41, 172.86 and 57.54 is: 86.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.41 : 172.86 = 57.54 : x
  2. Step 2: Convert to fraction form
    115.41/172.86 = 57.54/x
  3. Step 3: Cross multiply
    115.41x = 172.86 × 57.54
  4. Step 4: Simplify right side
    115.41x = 9,946.36
  5. Step 5: Solve for x
    x = 9,946.36/115.41
  6. Step 6: Final answer
    x = 86.18

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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.