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Finding the Fourth Proportional to 357.17, 492.45 and 232.82

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Solution

The fourth proportional to 357.17, 492.45 and 232.82 is: 321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.17 : 492.45 = 232.82 : x
  2. Step 2: Convert to fraction form
    357.17/492.45 = 232.82/x
  3. Step 3: Cross multiply
    357.17x = 492.45 × 232.82
  4. Step 4: Simplify right side
    357.17x = 114,652.21
  5. Step 5: Solve for x
    x = 114,652.21/357.17
  6. Step 6: Final answer
    x = 321.00

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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.