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Finding the Fourth Proportional to 414.93, 572.45 and 259.41

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Solution

The fourth proportional to 414.93, 572.45 and 259.41 is: 357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.93 : 572.45 = 259.41 : x
  2. Step 2: Convert to fraction form
    414.93/572.45 = 259.41/x
  3. Step 3: Cross multiply
    414.93x = 572.45 × 259.41
  4. Step 4: Simplify right side
    414.93x = 148,497.96
  5. Step 5: Solve for x
    x = 148,497.96/414.93
  6. Step 6: Final answer
    x = 357.89

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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.