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Finding the Fourth Proportional to 328.92, 490.80 and 292.38

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Solution

The fourth proportional to 328.92, 490.80 and 292.38 is: 436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.92 : 490.80 = 292.38 : x
  2. Step 2: Convert to fraction form
    328.92/490.80 = 292.38/x
  3. Step 3: Cross multiply
    328.92x = 490.80 × 292.38
  4. Step 4: Simplify right side
    328.92x = 143,500.10
  5. Step 5: Solve for x
    x = 143,500.10/328.92
  6. Step 6: Final answer
    x = 436.28

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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.