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Finding the Fourth Proportional to 436.13, 601.47 and 286.62

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Solution

The fourth proportional to 436.13, 601.47 and 286.62 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.13 : 601.47 = 286.62 : x
  2. Step 2: Convert to fraction form
    436.13/601.47 = 286.62/x
  3. Step 3: Cross multiply
    436.13x = 601.47 × 286.62
  4. Step 4: Simplify right side
    436.13x = 172,393.33
  5. Step 5: Solve for x
    x = 172,393.33/436.13
  6. Step 6: Final answer
    x = 395.28

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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.