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Finding the Fourth Proportional to 347.22, 523.04 and 283.86

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Solution

The fourth proportional to 347.22, 523.04 and 283.86 is: 427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.22 : 523.04 = 283.86 : x
  2. Step 2: Convert to fraction form
    347.22/523.04 = 283.86/x
  3. Step 3: Cross multiply
    347.22x = 523.04 × 283.86
  4. Step 4: Simplify right side
    347.22x = 148,468.72
  5. Step 5: Solve for x
    x = 148,468.72/347.22
  6. Step 6: Final answer
    x = 427.59

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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.