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Finding the Fourth Proportional to 172.98, 260.19 and 156.42

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Solution

The fourth proportional to 172.98, 260.19 and 156.42 is: 235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.98 : 260.19 = 156.42 : x
  2. Step 2: Convert to fraction form
    172.98/260.19 = 156.42/x
  3. Step 3: Cross multiply
    172.98x = 260.19 × 156.42
  4. Step 4: Simplify right side
    172.98x = 40,698.92
  5. Step 5: Solve for x
    x = 40,698.92/172.98
  6. Step 6: Final answer
    x = 235.28

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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.