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Finding the Fourth Proportional to 347.82, 521.35 and 193.82

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Solution

The fourth proportional to 347.82, 521.35 and 193.82 is: 290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.82 : 521.35 = 193.82 : x
  2. Step 2: Convert to fraction form
    347.82/521.35 = 193.82/x
  3. Step 3: Cross multiply
    347.82x = 521.35 × 193.82
  4. Step 4: Simplify right side
    347.82x = 101,048.06
  5. Step 5: Solve for x
    x = 101,048.06/347.82
  6. Step 6: Final answer
    x = 290.52

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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.