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Finding the Fourth Proportional to 347.10, 519.58 and 259.92

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Solution

The fourth proportional to 347.10, 519.58 and 259.92 is: 389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.10 : 519.58 = 259.92 : x
  2. Step 2: Convert to fraction form
    347.10/519.58 = 259.92/x
  3. Step 3: Cross multiply
    347.10x = 519.58 × 259.92
  4. Step 4: Simplify right side
    347.10x = 135,049.23
  5. Step 5: Solve for x
    x = 135,049.23/347.10
  6. Step 6: Final answer
    x = 389.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.