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Finding the Fourth Proportional to 172.03, 258.15 and 69.40

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Solution

The fourth proportional to 172.03, 258.15 and 69.40 is: 104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.03 : 258.15 = 69.40 : x
  2. Step 2: Convert to fraction form
    172.03/258.15 = 69.40/x
  3. Step 3: Cross multiply
    172.03x = 258.15 × 69.40
  4. Step 4: Simplify right side
    172.03x = 17,915.61
  5. Step 5: Solve for x
    x = 17,915.61/172.03
  6. Step 6: Final answer
    x = 104.14

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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.