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Finding the Fourth Proportional to 436.90, 655.43 and 205.74

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Solution

The fourth proportional to 436.90, 655.43 and 205.74 is: 308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.90 : 655.43 = 205.74 : x
  2. Step 2: Convert to fraction form
    436.90/655.43 = 205.74/x
  3. Step 3: Cross multiply
    436.90x = 655.43 × 205.74
  4. Step 4: Simplify right side
    436.90x = 134,848.17
  5. Step 5: Solve for x
    x = 134,848.17/436.90
  6. Step 6: Final answer
    x = 308.65

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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.