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Finding the Fourth Proportional to 492.30, 678.65 and 352.17

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Solution

The fourth proportional to 492.30, 678.65 and 352.17 is: 485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.30 : 678.65 = 352.17 : x
  2. Step 2: Convert to fraction form
    492.30/678.65 = 352.17/x
  3. Step 3: Cross multiply
    492.30x = 678.65 × 352.17
  4. Step 4: Simplify right side
    492.30x = 239,000.17
  5. Step 5: Solve for x
    x = 239,000.17/492.30
  6. Step 6: Final answer
    x = 485.48

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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.