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Finding the Fourth Proportional to 172.04, 257.84 and 69.24

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Solution

The fourth proportional to 172.04, 257.84 and 69.24 is: 103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.04 : 257.84 = 69.24 : x
  2. Step 2: Convert to fraction form
    172.04/257.84 = 69.24/x
  3. Step 3: Cross multiply
    172.04x = 257.84 × 69.24
  4. Step 4: Simplify right side
    172.04x = 17,852.84
  5. Step 5: Solve for x
    x = 17,852.84/172.04
  6. Step 6: Final answer
    x = 103.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.