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Finding the Fourth Proportional to 416.56, 574.86 and 259.20

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Solution

The fourth proportional to 416.56, 574.86 and 259.20 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.56 : 574.86 = 259.20 : x
  2. Step 2: Convert to fraction form
    416.56/574.86 = 259.20/x
  3. Step 3: Cross multiply
    416.56x = 574.86 × 259.20
  4. Step 4: Simplify right side
    416.56x = 149,003.71
  5. Step 5: Solve for x
    x = 149,003.71/416.56
  6. Step 6: Final answer
    x = 357.70

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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.