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Finding the Fourth Proportional to 347.24, 517.96 and 346.16

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Solution

The fourth proportional to 347.24, 517.96 and 346.16 is: 516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.24 : 517.96 = 346.16 : x
  2. Step 2: Convert to fraction form
    347.24/517.96 = 346.16/x
  3. Step 3: Cross multiply
    347.24x = 517.96 × 346.16
  4. Step 4: Simplify right side
    347.24x = 179,297.03
  5. Step 5: Solve for x
    x = 179,297.03/347.24
  6. Step 6: Final answer
    x = 516.35

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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.