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Finding the Fourth Proportional to 172.10, 258.08 and 74.58

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Solution

The fourth proportional to 172.10, 258.08 and 74.58 is: 111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.10 : 258.08 = 74.58 : x
  2. Step 2: Convert to fraction form
    172.10/258.08 = 74.58/x
  3. Step 3: Cross multiply
    172.10x = 258.08 × 74.58
  4. Step 4: Simplify right side
    172.10x = 19,247.61
  5. Step 5: Solve for x
    x = 19,247.61/172.10
  6. Step 6: Final answer
    x = 111.84

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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.