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Finding the Fourth Proportional to 347.92, 523.62 and 261.70

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Solution

The fourth proportional to 347.92, 523.62 and 261.70 is: 393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.92 : 523.62 = 261.70 : x
  2. Step 2: Convert to fraction form
    347.92/523.62 = 261.70/x
  3. Step 3: Cross multiply
    347.92x = 523.62 × 261.70
  4. Step 4: Simplify right side
    347.92x = 137,030.70
  5. Step 5: Solve for x
    x = 137,030.70/347.92
  6. Step 6: Final answer
    x = 393.86

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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.