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Finding the Fourth Proportional to 347.90, 521.48 and 174.31

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Solution

The fourth proportional to 347.90, 521.48 and 174.31 is: 261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.90 : 521.48 = 174.31 : x
  2. Step 2: Convert to fraction form
    347.90/521.48 = 174.31/x
  3. Step 3: Cross multiply
    347.90x = 521.48 × 174.31
  4. Step 4: Simplify right side
    347.90x = 90,898.31
  5. Step 5: Solve for x
    x = 90,898.31/347.90
  6. Step 6: Final answer
    x = 261.28

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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.