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Finding the Fourth Proportional to 172.08, 258.14 and 79.53

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Solution

The fourth proportional to 172.08, 258.14 and 79.53 is: 119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.08 : 258.14 = 79.53 : x
  2. Step 2: Convert to fraction form
    172.08/258.14 = 79.53/x
  3. Step 3: Cross multiply
    172.08x = 258.14 × 79.53
  4. Step 4: Simplify right side
    172.08x = 20,529.48
  5. Step 5: Solve for x
    x = 20,529.48/172.08
  6. Step 6: Final answer
    x = 119.30

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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.