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Finding the Fourth Proportional to 172.74, 259.11 and 109.02

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Solution

The fourth proportional to 172.74, 259.11 and 109.02 is: 163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.74 : 259.11 = 109.02 : x
  2. Step 2: Convert to fraction form
    172.74/259.11 = 109.02/x
  3. Step 3: Cross multiply
    172.74x = 259.11 × 109.02
  4. Step 4: Simplify right side
    172.74x = 28,248.17
  5. Step 5: Solve for x
    x = 28,248.17/172.74
  6. Step 6: Final answer
    x = 163.53

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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.