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Finding the Fourth Proportional to 602.12, 902.98 and 236.81

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Solution

The fourth proportional to 602.12, 902.98 and 236.81 is: 355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.12 : 902.98 = 236.81 : x
  2. Step 2: Convert to fraction form
    602.12/902.98 = 236.81/x
  3. Step 3: Cross multiply
    602.12x = 902.98 × 236.81
  4. Step 4: Simplify right side
    602.12x = 213,836.36
  5. Step 5: Solve for x
    x = 213,836.36/602.12
  6. Step 6: Final answer
    x = 355.14

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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.