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Finding the Fourth Proportional to 347.20, 518.15 and 306.16

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Solution

The fourth proportional to 347.20, 518.15 and 306.16 is: 456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.20 : 518.15 = 306.16 : x
  2. Step 2: Convert to fraction form
    347.20/518.15 = 306.16/x
  3. Step 3: Cross multiply
    347.20x = 518.15 × 306.16
  4. Step 4: Simplify right side
    347.20x = 158,636.80
  5. Step 5: Solve for x
    x = 158,636.80/347.20
  6. Step 6: Final answer
    x = 456.90

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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.