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Finding the Fourth Proportional to 162.50, 225.41 and 156.83

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Solution

The fourth proportional to 162.50, 225.41 and 156.83 is: 217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.50 : 225.41 = 156.83 : x
  2. Step 2: Convert to fraction form
    162.50/225.41 = 156.83/x
  3. Step 3: Cross multiply
    162.50x = 225.41 × 156.83
  4. Step 4: Simplify right side
    162.50x = 35,349.14
  5. Step 5: Solve for x
    x = 35,349.14/162.50
  6. Step 6: Final answer
    x = 217.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.