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Finding the Fourth Proportional to 347.57, 517.25 and 334.61

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Solution

The fourth proportional to 347.57, 517.25 and 334.61 is: 497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.57 : 517.25 = 334.61 : x
  2. Step 2: Convert to fraction form
    347.57/517.25 = 334.61/x
  3. Step 3: Cross multiply
    347.57x = 517.25 × 334.61
  4. Step 4: Simplify right side
    347.57x = 173,075.27
  5. Step 5: Solve for x
    x = 173,075.27/347.57
  6. Step 6: Final answer
    x = 497.97

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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.