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Finding the Fourth Proportional to 416.53, 575.01 and 286.21

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Solution

The fourth proportional to 416.53, 575.01 and 286.21 is: 395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 575.01 = 286.21 : x
  2. Step 2: Convert to fraction form
    416.53/575.01 = 286.21/x
  3. Step 3: Cross multiply
    416.53x = 575.01 × 286.21
  4. Step 4: Simplify right side
    416.53x = 164,573.61
  5. Step 5: Solve for x
    x = 164,573.61/416.53
  6. Step 6: Final answer
    x = 395.11

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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.