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Finding the Fourth Proportional to 347.30, 522.97 and 256.63

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Solution

The fourth proportional to 347.30, 522.97 and 256.63 is: 386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.30 : 522.97 = 256.63 : x
  2. Step 2: Convert to fraction form
    347.30/522.97 = 256.63/x
  3. Step 3: Cross multiply
    347.30x = 522.97 × 256.63
  4. Step 4: Simplify right side
    347.30x = 134,205.89
  5. Step 5: Solve for x
    x = 134,205.89/347.30
  6. Step 6: Final answer
    x = 386.43

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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.