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Finding the Fourth Proportional to 172.93, 259.29 and 118.90

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Solution

The fourth proportional to 172.93, 259.29 and 118.90 is: 178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.93 : 259.29 = 118.90 : x
  2. Step 2: Convert to fraction form
    172.93/259.29 = 118.90/x
  3. Step 3: Cross multiply
    172.93x = 259.29 × 118.90
  4. Step 4: Simplify right side
    172.93x = 30,829.58
  5. Step 5: Solve for x
    x = 30,829.58/172.93
  6. Step 6: Final answer
    x = 178.28

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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.