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Finding the Fourth Proportional to 172.90, 259.21 and 118.63

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Solution

The fourth proportional to 172.90, 259.21 and 118.63 is: 177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.90 : 259.21 = 118.63 : x
  2. Step 2: Convert to fraction form
    172.90/259.21 = 118.63/x
  3. Step 3: Cross multiply
    172.90x = 259.21 × 118.63
  4. Step 4: Simplify right side
    172.90x = 30,750.08
  5. Step 5: Solve for x
    x = 30,750.08/172.90
  6. Step 6: Final answer
    x = 177.85

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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.