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Finding the Fourth Proportional to 247.69, 342.10 and 164.65

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Solution

The fourth proportional to 247.69, 342.10 and 164.65 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.69 : 342.10 = 164.65 : x
  2. Step 2: Convert to fraction form
    247.69/342.10 = 164.65/x
  3. Step 3: Cross multiply
    247.69x = 342.10 × 164.65
  4. Step 4: Simplify right side
    247.69x = 56,327.02
  5. Step 5: Solve for x
    x = 56,327.02/247.69
  6. Step 6: Final answer
    x = 227.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.