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Finding the Fourth Proportional to 347.16, 518.20 and 321.78

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Solution

The fourth proportional to 347.16, 518.20 and 321.78 is: 480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.16 : 518.20 = 321.78 : x
  2. Step 2: Convert to fraction form
    347.16/518.20 = 321.78/x
  3. Step 3: Cross multiply
    347.16x = 518.20 × 321.78
  4. Step 4: Simplify right side
    347.16x = 166,746.40
  5. Step 5: Solve for x
    x = 166,746.40/347.16
  6. Step 6: Final answer
    x = 480.32

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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.