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Finding the Fourth Proportional to 291.04, 436.20 and 200.32

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Solution

The fourth proportional to 291.04, 436.20 and 200.32 is: 300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.04 : 436.20 = 200.32 : x
  2. Step 2: Convert to fraction form
    291.04/436.20 = 200.32/x
  3. Step 3: Cross multiply
    291.04x = 436.20 × 200.32
  4. Step 4: Simplify right side
    291.04x = 87,379.58
  5. Step 5: Solve for x
    x = 87,379.58/291.04
  6. Step 6: Final answer
    x = 300.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.