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Finding the Fourth Proportional to 172.17, 237.64 and 106.65

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Solution

The fourth proportional to 172.17, 237.64 and 106.65 is: 147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.17 : 237.64 = 106.65 : x
  2. Step 2: Convert to fraction form
    172.17/237.64 = 106.65/x
  3. Step 3: Cross multiply
    172.17x = 237.64 × 106.65
  4. Step 4: Simplify right side
    172.17x = 25,344.31
  5. Step 5: Solve for x
    x = 25,344.31/172.17
  6. Step 6: Final answer
    x = 147.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.