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Finding the Fourth Proportional to 347.93, 522.09 and 165.23

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Solution

The fourth proportional to 347.93, 522.09 and 165.23 is: 247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.93 : 522.09 = 165.23 : x
  2. Step 2: Convert to fraction form
    347.93/522.09 = 165.23/x
  3. Step 3: Cross multiply
    347.93x = 522.09 × 165.23
  4. Step 4: Simplify right side
    347.93x = 86,262.32
  5. Step 5: Solve for x
    x = 86,262.32/347.93
  6. Step 6: Final answer
    x = 247.93

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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.