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Finding the Fourth Proportional to 436.11, 602.31 and 289.41

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Solution

The fourth proportional to 436.11, 602.31 and 289.41 is: 399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.11 : 602.31 = 289.41 : x
  2. Step 2: Convert to fraction form
    436.11/602.31 = 289.41/x
  3. Step 3: Cross multiply
    436.11x = 602.31 × 289.41
  4. Step 4: Simplify right side
    436.11x = 174,314.54
  5. Step 5: Solve for x
    x = 174,314.54/436.11
  6. Step 6: Final answer
    x = 399.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.