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Finding the Fourth Proportional to 602.09, 902.79 and 236.64

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Solution

The fourth proportional to 602.09, 902.79 and 236.64 is: 354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.09 : 902.79 = 236.64 : x
  2. Step 2: Convert to fraction form
    602.09/902.79 = 236.64/x
  3. Step 3: Cross multiply
    602.09x = 902.79 × 236.64
  4. Step 4: Simplify right side
    602.09x = 213,636.23
  5. Step 5: Solve for x
    x = 213,636.23/602.09
  6. Step 6: Final answer
    x = 354.82

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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.