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Finding the Fourth Proportional to 414.47, 572.41 and 259.31

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Solution

The fourth proportional to 414.47, 572.41 and 259.31 is: 358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.47 : 572.41 = 259.31 : x
  2. Step 2: Convert to fraction form
    414.47/572.41 = 259.31/x
  3. Step 3: Cross multiply
    414.47x = 572.41 × 259.31
  4. Step 4: Simplify right side
    414.47x = 148,433.39
  5. Step 5: Solve for x
    x = 148,433.39/414.47
  6. Step 6: Final answer
    x = 358.13

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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.