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Finding the Fourth Proportional to 416.98, 575.45 and 240.00

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Solution

The fourth proportional to 416.98, 575.45 and 240.00 is: 331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.98 : 575.45 = 240.00 : x
  2. Step 2: Convert to fraction form
    416.98/575.45 = 240.00/x
  3. Step 3: Cross multiply
    416.98x = 575.45 × 240.00
  4. Step 4: Simplify right side
    416.98x = 138,105.12
  5. Step 5: Solve for x
    x = 138,105.12/416.98
  6. Step 6: Final answer
    x = 331.21

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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.