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Finding the Fourth Proportional to 172.98, 260.40 and 150.66

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Solution

The fourth proportional to 172.98, 260.40 and 150.66 is: 226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.98 : 260.40 = 150.66 : x
  2. Step 2: Convert to fraction form
    172.98/260.40 = 150.66/x
  3. Step 3: Cross multiply
    172.98x = 260.40 × 150.66
  4. Step 4: Simplify right side
    172.98x = 39,231.86
  5. Step 5: Solve for x
    x = 39,231.86/172.98
  6. Step 6: Final answer
    x = 226.80

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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.