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Finding the Fourth Proportional to 347.66, 521.41 and 165

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Solution

The fourth proportional to 347.66, 521.41 and 165 is: 247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.66 : 521.41 = 165 : x
  2. Step 2: Convert to fraction form
    347.66/521.41 = 165/x
  3. Step 3: Cross multiply
    347.66x = 521.41 × 165
  4. Step 4: Simplify right side
    347.66x = 86,032.65
  5. Step 5: Solve for x
    x = 86,032.65/347.66
  6. Step 6: Final answer
    x = 247.46

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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.