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Finding the Fourth Proportional to 115.50, 172.46 and 95.16

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Solution

The fourth proportional to 115.50, 172.46 and 95.16 is: 142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.50 : 172.46 = 95.16 : x
  2. Step 2: Convert to fraction form
    115.50/172.46 = 95.16/x
  3. Step 3: Cross multiply
    115.50x = 172.46 × 95.16
  4. Step 4: Simplify right side
    115.50x = 16,411.29
  5. Step 5: Solve for x
    x = 16,411.29/115.50
  6. Step 6: Final answer
    x = 142.09

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Why These Related Problems?

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