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Finding the Fourth Proportional to 347.89, 523.86 and 257.22

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Solution

The fourth proportional to 347.89, 523.86 and 257.22 is: 387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.89 : 523.86 = 257.22 : x
  2. Step 2: Convert to fraction form
    347.89/523.86 = 257.22/x
  3. Step 3: Cross multiply
    347.89x = 523.86 × 257.22
  4. Step 4: Simplify right side
    347.89x = 134,749.22
  5. Step 5: Solve for x
    x = 134,749.22/347.89
  6. Step 6: Final answer
    x = 387.34

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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.