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Finding the Fourth Proportional to 366.98, 550.52 and 172.18

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Solution

The fourth proportional to 366.98, 550.52 and 172.18 is: 258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.98 : 550.52 = 172.18 : x
  2. Step 2: Convert to fraction form
    366.98/550.52 = 172.18/x
  3. Step 3: Cross multiply
    366.98x = 550.52 × 172.18
  4. Step 4: Simplify right side
    366.98x = 94,788.53
  5. Step 5: Solve for x
    x = 94,788.53/366.98
  6. Step 6: Final answer
    x = 258.29

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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.