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Finding the Fourth Proportional to 347.89, 479.60 and 259.20

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Solution

The fourth proportional to 347.89, 479.60 and 259.20 is: 357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.89 : 479.60 = 259.20 : x
  2. Step 2: Convert to fraction form
    347.89/479.60 = 259.20/x
  3. Step 3: Cross multiply
    347.89x = 479.60 × 259.20
  4. Step 4: Simplify right side
    347.89x = 124,309.92
  5. Step 5: Solve for x
    x = 124,309.92/347.89
  6. Step 6: Final answer
    x = 357.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.