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Finding the Fourth Proportional to 259.52, 358.60 and 204.68

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Solution

The fourth proportional to 259.52, 358.60 and 204.68 is: 282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.52 : 358.60 = 204.68 : x
  2. Step 2: Convert to fraction form
    259.52/358.60 = 204.68/x
  3. Step 3: Cross multiply
    259.52x = 358.60 × 204.68
  4. Step 4: Simplify right side
    259.52x = 73,398.25
  5. Step 5: Solve for x
    x = 73,398.25/259.52
  6. Step 6: Final answer
    x = 282.82

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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.