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Finding the Fourth Proportional to 357.35, 492.80 and 233.12

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Solution

The fourth proportional to 357.35, 492.80 and 233.12 is: 321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.35 : 492.80 = 233.12 : x
  2. Step 2: Convert to fraction form
    357.35/492.80 = 233.12/x
  3. Step 3: Cross multiply
    357.35x = 492.80 × 233.12
  4. Step 4: Simplify right side
    357.35x = 114,883.35
  5. Step 5: Solve for x
    x = 114,883.35/357.35
  6. Step 6: Final answer
    x = 321.48

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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.