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Finding the Fourth Proportional to 172.90, 260.29 and 157.78

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Solution

The fourth proportional to 172.90, 260.29 and 157.78 is: 237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.90 : 260.29 = 157.78 : x
  2. Step 2: Convert to fraction form
    172.90/260.29 = 157.78/x
  3. Step 3: Cross multiply
    172.90x = 260.29 × 157.78
  4. Step 4: Simplify right side
    172.90x = 41,068.56
  5. Step 5: Solve for x
    x = 41,068.56/172.90
  6. Step 6: Final answer
    x = 237.53

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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.