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Finding the Fourth Proportional to 347.82, 519.26 and 293.14

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Solution

The fourth proportional to 347.82, 519.26 and 293.14 is: 437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.82 : 519.26 = 293.14 : x
  2. Step 2: Convert to fraction form
    347.82/519.26 = 293.14/x
  3. Step 3: Cross multiply
    347.82x = 519.26 × 293.14
  4. Step 4: Simplify right side
    347.82x = 152,215.88
  5. Step 5: Solve for x
    x = 152,215.88/347.82
  6. Step 6: Final answer
    x = 437.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.