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Finding the Fourth Proportional to 364.59, 503.67 and 286.24

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Solution

The fourth proportional to 364.59, 503.67 and 286.24 is: 395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.59 : 503.67 = 286.24 : x
  2. Step 2: Convert to fraction form
    364.59/503.67 = 286.24/x
  3. Step 3: Cross multiply
    364.59x = 503.67 × 286.24
  4. Step 4: Simplify right side
    364.59x = 144,170.50
  5. Step 5: Solve for x
    x = 144,170.50/364.59
  6. Step 6: Final answer
    x = 395.43

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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.