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Finding the Fourth Proportional to 347.09, 518.65 and 264.37

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Solution

The fourth proportional to 347.09, 518.65 and 264.37 is: 395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.09 : 518.65 = 264.37 : x
  2. Step 2: Convert to fraction form
    347.09/518.65 = 264.37/x
  3. Step 3: Cross multiply
    347.09x = 518.65 × 264.37
  4. Step 4: Simplify right side
    347.09x = 137,115.10
  5. Step 5: Solve for x
    x = 137,115.10/347.09
  6. Step 6: Final answer
    x = 395.04

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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.