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Finding the Fourth Proportional to 164.57, 247.26 and 103.82

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Solution

The fourth proportional to 164.57, 247.26 and 103.82 is: 155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.57 : 247.26 = 103.82 : x
  2. Step 2: Convert to fraction form
    164.57/247.26 = 103.82/x
  3. Step 3: Cross multiply
    164.57x = 247.26 × 103.82
  4. Step 4: Simplify right side
    164.57x = 25,670.53
  5. Step 5: Solve for x
    x = 25,670.53/164.57
  6. Step 6: Final answer
    x = 155.99

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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.