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Finding the Fourth Proportional to 172.10, 258.28 and 138.16

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Solution

The fourth proportional to 172.10, 258.28 and 138.16 is: 207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.10 : 258.28 = 138.16 : x
  2. Step 2: Convert to fraction form
    172.10/258.28 = 138.16/x
  3. Step 3: Cross multiply
    172.10x = 258.28 × 138.16
  4. Step 4: Simplify right side
    172.10x = 35,683.96
  5. Step 5: Solve for x
    x = 35,683.96/172.10
  6. Step 6: Final answer
    x = 207.34

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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.