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Finding the Fourth Proportional to 290.57, 436.16 and 213.62

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Solution

The fourth proportional to 290.57, 436.16 and 213.62 is: 320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.57 : 436.16 = 213.62 : x
  2. Step 2: Convert to fraction form
    290.57/436.16 = 213.62/x
  3. Step 3: Cross multiply
    290.57x = 436.16 × 213.62
  4. Step 4: Simplify right side
    290.57x = 93,170.34
  5. Step 5: Solve for x
    x = 93,170.34/290.57
  6. Step 6: Final answer
    x = 320.65

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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.