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Finding the Fourth Proportional to 436.43, 654.34 and 290.23

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Solution

The fourth proportional to 436.43, 654.34 and 290.23 is: 435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.43 : 654.34 = 290.23 : x
  2. Step 2: Convert to fraction form
    436.43/654.34 = 290.23/x
  3. Step 3: Cross multiply
    436.43x = 654.34 × 290.23
  4. Step 4: Simplify right side
    436.43x = 189,909.10
  5. Step 5: Solve for x
    x = 189,909.10/436.43
  6. Step 6: Final answer
    x = 435.14

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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.