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Finding the Fourth Proportional to 115.68, 172.48 and 106.24

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Solution

The fourth proportional to 115.68, 172.48 and 106.24 is: 158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.68 : 172.48 = 106.24 : x
  2. Step 2: Convert to fraction form
    115.68/172.48 = 106.24/x
  3. Step 3: Cross multiply
    115.68x = 172.48 × 106.24
  4. Step 4: Simplify right side
    115.68x = 18,324.28
  5. Step 5: Solve for x
    x = 18,324.28/115.68
  6. Step 6: Final answer
    x = 158.40

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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.