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Finding the Fourth Proportional to 352.60, 487.04 and 259.20

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Solution

The fourth proportional to 352.60, 487.04 and 259.20 is: 358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.60 : 487.04 = 259.20 : x
  2. Step 2: Convert to fraction form
    352.60/487.04 = 259.20/x
  3. Step 3: Cross multiply
    352.60x = 487.04 × 259.20
  4. Step 4: Simplify right side
    352.60x = 126,240.77
  5. Step 5: Solve for x
    x = 126,240.77/352.60
  6. Step 6: Final answer
    x = 358.03

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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.