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Finding the Fourth Proportional to 172.95, 259.12 and 144.25

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Solution

The fourth proportional to 172.95, 259.12 and 144.25 is: 216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.95 : 259.12 = 144.25 : x
  2. Step 2: Convert to fraction form
    172.95/259.12 = 144.25/x
  3. Step 3: Cross multiply
    172.95x = 259.12 × 144.25
  4. Step 4: Simplify right side
    172.95x = 37,378.06
  5. Step 5: Solve for x
    x = 37,378.06/172.95
  6. Step 6: Final answer
    x = 216.12

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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.