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Finding the Fourth Proportional to 172.25, 259.68 and 145.38

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Solution

The fourth proportional to 172.25, 259.68 and 145.38 is: 219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.25 : 259.68 = 145.38 : x
  2. Step 2: Convert to fraction form
    172.25/259.68 = 145.38/x
  3. Step 3: Cross multiply
    172.25x = 259.68 × 145.38
  4. Step 4: Simplify right side
    172.25x = 37,752.28
  5. Step 5: Solve for x
    x = 37,752.28/172.25
  6. Step 6: Final answer
    x = 219.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.