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Finding the Fourth Proportional to 492.08, 735.38 and 328.40

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Solution

The fourth proportional to 492.08, 735.38 and 328.40 is: 490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.08 : 735.38 = 328.40 : x
  2. Step 2: Convert to fraction form
    492.08/735.38 = 328.40/x
  3. Step 3: Cross multiply
    492.08x = 735.38 × 328.40
  4. Step 4: Simplify right side
    492.08x = 241,498.79
  5. Step 5: Solve for x
    x = 241,498.79/492.08
  6. Step 6: Final answer
    x = 490.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.