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Finding the Fourth Proportional to 347.15, 518.03 and 316.49

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Solution

The fourth proportional to 347.15, 518.03 and 316.49 is: 472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.15 : 518.03 = 316.49 : x
  2. Step 2: Convert to fraction form
    347.15/518.03 = 316.49/x
  3. Step 3: Cross multiply
    347.15x = 518.03 × 316.49
  4. Step 4: Simplify right side
    347.15x = 163,951.31
  5. Step 5: Solve for x
    x = 163,951.31/347.15
  6. Step 6: Final answer
    x = 472.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.