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Finding the Fourth Proportional to 347.73, 523.34 and 261.51

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Solution

The fourth proportional to 347.73, 523.34 and 261.51 is: 393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.73 : 523.34 = 261.51 : x
  2. Step 2: Convert to fraction form
    347.73/523.34 = 261.51/x
  3. Step 3: Cross multiply
    347.73x = 523.34 × 261.51
  4. Step 4: Simplify right side
    347.73x = 136,857.34
  5. Step 5: Solve for x
    x = 136,857.34/347.73
  6. Step 6: Final answer
    x = 393.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.