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Finding the Fourth Proportional to 436.20, 601.54 and 286.55

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Solution

The fourth proportional to 436.20, 601.54 and 286.55 is: 395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.20 : 601.54 = 286.55 : x
  2. Step 2: Convert to fraction form
    436.20/601.54 = 286.55/x
  3. Step 3: Cross multiply
    436.20x = 601.54 × 286.55
  4. Step 4: Simplify right side
    436.20x = 172,372.29
  5. Step 5: Solve for x
    x = 172,372.29/436.20
  6. Step 6: Final answer
    x = 395.17

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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.