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Finding the Fourth Proportional to 115.56, 172.53 and 95.31

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Solution

The fourth proportional to 115.56, 172.53 and 95.31 is: 142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.56 : 172.53 = 95.31 : x
  2. Step 2: Convert to fraction form
    115.56/172.53 = 95.31/x
  3. Step 3: Cross multiply
    115.56x = 172.53 × 95.31
  4. Step 4: Simplify right side
    115.56x = 16,443.83
  5. Step 5: Solve for x
    x = 16,443.83/115.56
  6. Step 6: Final answer
    x = 142.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.