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Finding the Fourth Proportional to 347.13, 518.13 and 306.14

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Solution

The fourth proportional to 347.13, 518.13 and 306.14 is: 456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.13 : 518.13 = 306.14 : x
  2. Step 2: Convert to fraction form
    347.13/518.13 = 306.14/x
  3. Step 3: Cross multiply
    347.13x = 518.13 × 306.14
  4. Step 4: Simplify right side
    347.13x = 158,617.73
  5. Step 5: Solve for x
    x = 158,617.73/347.13
  6. Step 6: Final answer
    x = 456.94

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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.