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Finding the Fourth Proportional to 347.64, 523.49 and 256.97

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Solution

The fourth proportional to 347.64, 523.49 and 256.97 is: 386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.64 : 523.49 = 256.97 : x
  2. Step 2: Convert to fraction form
    347.64/523.49 = 256.97/x
  3. Step 3: Cross multiply
    347.64x = 523.49 × 256.97
  4. Step 4: Simplify right side
    347.64x = 134,521.25
  5. Step 5: Solve for x
    x = 134,521.25/347.64
  6. Step 6: Final answer
    x = 386.96

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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.