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Finding the Fourth Proportional to 416.88, 575.54 and 286.08

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Solution

The fourth proportional to 416.88, 575.54 and 286.08 is: 394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.88 : 575.54 = 286.08 : x
  2. Step 2: Convert to fraction form
    416.88/575.54 = 286.08/x
  3. Step 3: Cross multiply
    416.88x = 575.54 × 286.08
  4. Step 4: Simplify right side
    416.88x = 164,650.48
  5. Step 5: Solve for x
    x = 164,650.48/416.88
  6. Step 6: Final answer
    x = 394.96

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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.