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Finding the Fourth Proportional to 436.52, 654.86 and 193.05

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Solution

The fourth proportional to 436.52, 654.86 and 193.05 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.52 : 654.86 = 193.05 : x
  2. Step 2: Convert to fraction form
    436.52/654.86 = 193.05/x
  3. Step 3: Cross multiply
    436.52x = 654.86 × 193.05
  4. Step 4: Simplify right side
    436.52x = 126,421.21
  5. Step 5: Solve for x
    x = 126,421.21/436.52
  6. Step 6: Final answer
    x = 289.61

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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.